The Marcel Grossmann meetings were conceived to promote theoretical understanding in the fields of physics, mathematics, astronomy and astrophysics and to direct future technological, observational, and experimental efforts. They review recent developments in gravitation and general relativity, with major emphasis on mathematical foundations and physical predictions. Their main objective is to bring together scientists from diverse backgrounds and their range of topics is broad, from more abstract classical theory and quantum gravity and strings to more concrete relativistic astrophysics observations and modeling.
This Tenth Marcel Grossmann Meeting was organized by an international committee composed of D Blair, Y Choquet-Bruhat, D Christodoulou, T Damour, J Ehlers, F Everitt, Fang Li Zhi, S Hawking, Y Ne'eman, R Ruffini (chair), H Sato, R Sunyaev, and S Weinberg and backed by an international coordinating committee of about 135 members from scientific institutions representing 54 countries. The scientific program included 29 morning plenary talks during 6 days, and 57 parallel sessions over five afternoons, during which roughly 500 papers were presented.
These three volumes of the proceedings of MG10 give a broad view of all aspects of gravitation, from mathematical issues to recent observations and experiments.
Sample Chapter(s)
Part A: Plenary and Review Talks
The Initial Value Problem Using Metric and Extrinsic Curvature (566k)
Part B: Plenary and Review Talks
The Largest Optical Telescopes: Today VLT; Tomorrow Owl. (951k)
Part C: Parallel Sessions
Numerical Simulation of General Relativistic Stellar Collapse (1,337k)
https://doi.org/10.1142/9789812704030_fmatter
PUBLICATIONS IN THIS SERIES AND SPONSORS.
ORGANIZING COMMITTEES.
MARCEL GROSSMANN AWARDS.
PREFACE.
INAUGURAL ADDRESS.
https://doi.org/10.1142/9789812704030_0001
The initial value problem is introduced after a thorough review of the essential geometry. The initial value equations are put into elliptic form using both conformal transformations and a treatment of the extrinsic curvature introduced recently. This use of the metric and the extrinsic curvature is manifestly equivalent to the author’s conformal thin sandwich formulation. Therefore, the reformulation of the constraints as an elliptic system by use of conformal techniques is complete.
https://doi.org/10.1142/9789812704030_0002
No abstract received.
https://doi.org/10.1142/9789812704030_0003
We show that the cosmological constant may be reduced by thermal production of membranes by the cosmological horizon, analogous to a particle going over the top of the potential barrier, rather than tunneling through it. The membranes are endowed with charge associated with the gauge invariance of an antisymmetric gauge potential. In this new process, the membrane collapses into a black hole, thus the net effect is to produce black holes out of the vacuum energy associated with the cosmological constant. We study here the corresponding Euclidean configurations (thermalons), and calculate the probability for the process in the leading semiclassical approximation.
https://doi.org/10.1142/9789812704030_0004
We investigate quasi-spherical Szekeres models, including the anisotropic generalisation of the Lemaitre-Tolman wormhole topology. We: (a) derive the conditions for physically reasonable models, including a regular origin, maxima and minima, and the absence of shell-crossings; (b) obtain the relations between the local mass dipole, apparent horizon, light propagation rate, and shell crossings; (c) show non-zero dipole requires non-zero density, and cannot compensate for the effects of non-vacuum in any direction, so communication through the neck is still worse than the vacuum case; (d) show that a handle topology cannot be created by identifying hypersurfaces on either side of a wormhole, unless a surface layer is allowed. This impossibility includes the vacuum (Schwarzschild-Kruskal-Szekeres) case.
https://doi.org/10.1142/9789812704030_0005
Galactic dark matter is modelled by a scalar field in order to effectively modify Kepler’s law without changing standard Newtonian gravity. In particular, a solvable toy model with a self-interaction U(Φ) borrowed from non-topological solitons produces already qualitatively correct rotation curves and scaling relations. Although relativistic effects in the halo are very small, we indicate corrections arising from the general relativistic formulation. Thereby, we can also probe the weak gravitational lensing of our soliton type halo. For cold scalar fields, it corresponds to a gravitationally confined Boson-Einstein condensate, but of galactic dimensions.
https://doi.org/10.1142/9789812704030_0006
The Geroch, Hansen and Simon multipole moments for stationary gravitational fields are reviewed and their relationship with the gravitational potentials discussed. Algorithms for computing these moments from the gravitational potential of axially symmetric space-times are presented. The question is considered to what extent the causal behavior of asymptotically flat space-times can be characterized in terms of moments.
https://doi.org/10.1142/9789812704030_0007
The electromagnetic structure of the stationary axisymmetric force-free magnetosphere around a black hole is characterized by the stream function Ψ, the current potential I, and the angular velocity of the magnetic field lines ΩF. These functions are governed by the ‘stream equation’. Possible solutions of the ‘stream equation’ are studied in this work. Starting from some solutions known in the limit of vanishing ΩF and I, we investigate modifications of these solutions which can lead to solutions in the general case of nonzero ΩF and I. Assuming small values of ΩF and I, we solve the ‘stream equation’ perturbatively to obtain asymptotic forms of such solutions in the large-r region in one case and in the region near the event horizon in another.
https://doi.org/10.1142/9789812704030_0008
The evolution equations of the Lemaître-Tolman (LT) model are reformulated in such a way that the distributions of matter density ρi or matter velocity υi at two different times ti, i = 1, 2 are the input data (any two of the four quantities uniquely determine an LT model). This formulation is better suited to observational practice in cosmology. Then, numerical examples of the LT models are constructed that evolve between a certain density or velocity distribution at t1 = last scattering epoch and a model of a modern structure at t2 = the present time. The amplitude of the inhomogeneity at t1 is kept within the limits implied by observations, and the final modern structures are galaxy clusters, voids or galaxies with a central black hole. Among other things, it is shown that the initial velocity distribution plays an essential role in the formation of structures, the density distribution alone does not even determine whether the final structure will be a void or a condensation.
https://doi.org/10.1142/9789812704030_0009
I describe different approaches in which string theory attempts to reproduce the structure of the Standard Model of Particle Physics, with an emphasis on recent constructions of brane world models (where the gauge sector is localized on a subspace of spacetime, while gravity propagates over all of spacetime) using D-branes.
https://doi.org/10.1142/9789812704030_0010
We discuss recent developments and insights concerning open string theory tachyons and unstable D-branes. We begin with a brief introduction where we explain what tachyons are and how they are studied in string field theory. We discuss stable and unstable D-branes, and then turn to the Sen conjectures in tachyon condensation. Finally we discuss rolling tachyons and the endpoint of the dynamical process of tachyon condensation.
https://doi.org/10.1142/9789812704030_0011
No abstract received.
https://doi.org/10.1142/9789812704030_0012
After reviewing the Green-Schwarz superstring, the superstring is covariantly quantized by constructing a BRST operator from the fermionic constraints and a bosonic pure spinor ghost variable. Physical massless vertex operators are constructed and, for the first time, N-point tree amplitudes are computed in a manifestly ten-dimensional super-Poincaré covariant manner.
https://doi.org/10.1142/9789812704030_0013
In this paper we calculate the emission of gravity waves by the binary pulsar in the framework of five dimensional braneworlds. We consider only braneworlds with one compact extra-dimension. We show that the presence of additional degrees of freedom, especially the ‘gravi-scalar’ leads to a modification of Einstein’s quadrupole formula. We compute the induced change for the binary pulsar PSR 1913+16 in the simple example of a 5d Minkowski background. It amounts to about 20% which is by far excluded by present experimental data.
https://doi.org/10.1142/9789812704030_0014
Vector perturbations induced on the brane by gravitational waves propagating in the bulk are studied in a cosmological framework. Cosmic expansion arises from the brane motion in a non-compact Z2 symmetric five-dimensional anti-de Sitter space-time. By solving the vector perturbation equations in the bulk, for generic initial conditions, we find that they give rise to growing modes on the brane in the Friedmann-Lemaître era. Among these modes, we exhibit a class of normalizable perturbations, which are exponentially growing with respect to conformal time on the brane. The presence of these modes is strongly constrained by the homogeneity and isotropy of the observable Universe.
https://doi.org/10.1142/9789812704030_0015
I give a brief overview of some Quantum-Gravity-Phenomenology research lines, focusing on studies of cosmic rays and gamma-ray bursts that concern the fate of Lorentz symmetry in quantum spacetime. I also stress that the most valuable phenomenological analyses should not mix too many conjectured new features of quantum spacetime, and from this perspective it appears that it should be difficult to obtain reliable guidance on the quantum-gravity problem from the analysis of synchrotron radiation from the Crab nebula and from the analysis of phase coherence of light from extragalactic sources. Forthcoming observatories of ultra-high-energy neutrinos should provide several opportunities for clean tests of some simple hypothesis for the short-distance structure of spacetime. In particular, these neutrino studies, and some related cosmic-ray studies, should provide access to the regime .
https://doi.org/10.1142/9789812704030_0016
Affine quantum gravity is based on a 3+1 split of spacetime in Einstein’s theory, and gets its name from its use of affine commutation relations. Unlike canonical commutation relations, affine commutation relations involve self-adjoint kinematical field operators that preserve strict positivity of the 3 × 3 metric tensor. Gravitational physics enters through constraints, and because the quantum version of gravitational constraints are partially second class, we use the projection operator method to enforce them since this method treats all kinds of constraints on an equal basis. Enforcing the constraints fully requires fine tuning of the basic operator representation along with a proper choice of any counterterms. When perturbatively nonrenormalizable theories are understood as due to hard-core interactions, it is recognized that traditional counterterms are generally incorrect and are to be replaced by alternative counterterms. To assist in this program, functional methods such as coherent states and functional integrals with continuous-time regularization provide an especially useful framework for analysis.
https://doi.org/10.1142/9789812704030_0017
From a functional integral viewpoint, it is characteristic of nonrenormalizable quantum theories that the nonlinear interaction is sufficiently singular that it forbids certain field histories that would otherwise be allowed by the noninteracting theory alone. Since such forbidden field histories are projected out of the functional integral no matter how small the coupling constant – exactly like a hard-core potential would behave – the interacting theory is not even continuously connected to the noninteracting theory as the coupling constant vanishes. Although, regularization and expansion of the interaction in a perturbation series is invariably inappropriate, alternative procedures have been difficult to formulate. Recent schemes for dealing with quartically coupled scalar fields in spacetime dimensions greater than four are presented, and arguments are even given to indicate that they may also be used to overcome triviality in four spacetime dimensions. Possible implications for quantum gravity are also mentioned.
https://doi.org/10.1142/9789812704030_0018
Research on the very early Universe has gradually been benefiting from an attractive line of investigation: Supersymmetric Quantum Cosmology. The essential feature is that supersymmetry is explicitly present. In this review we will analyse some of the consequences of explicitly including supersymmetry in a quantum cosmological scenario.
https://doi.org/10.1142/9789812704030_0019
The software tool GRworkbench is an ongoing project in visual, numerical General Relativity at The Australian National University. Recently, GRworkbench has been significantly extended to facilitate numerical experimentation in analytically-defined space-times. The numerical differential geometric engine has been rewritten using functional programming techniques, enabling objects which are normally defined as functions in the formalism of differential geometry and General Relativity to be directly represented as function variables in the C++ code of GRworkbench. The new functional differential geometric engine allows for more accurate and efficient visualisation of objects in space-times and makes new, efficient computational techniques available. Motivated by the desire to investigate a recent scientific claim using GRworkbench, new tools for numerical experimentation have been implemented, allowing for the simulation of complex physical situations.
https://doi.org/10.1142/9789812704030_0020
The prospect of variations in the constants of nature is re-examined. We first review the constraints from terrestrial, astrophysical and cosmological observations and experiments on variations in the electromagnetic fine-structure constant, α, and the gravitational constant, G. The relevant constraints from tests of the weak equivalence principle and related quantities such as the electron-proton mass ratio are also listed. Finally we briefly review theoretical motivations for α variations from fundamental and phenomenological models.
https://doi.org/10.1142/9789812704030_0021
The effort to detect gravitational waves has increased steadily in recent years. More than 20 major projects in gravitational wave detection are underway around the world. They span the spectrum from below 10-16 Hz to above 104 Hz. Detectors can be divided into two categories: those that use resonant masses and those that use electromagnetic beams. For electromagnetic beams the approaches vary according to the frequency band. In the microhertz band the timing of pulsar signals offers the possibility of detecting the coalescence of massive black holes during galactic mergers. In the millihertz band numerous galactic binary star sources plus extragalactic mergers should be detectable using space laser interferometry. Smaller scale space laser techniques could also be used in the band around 1Hz. In the audiofrequency band terrestrial laser interferometers should detect signals associated with stellar mass compact objects, particularly neutron star births and coalescences. Resonant mass detectors in the form of bars and spheres offer high sensitivity in the 1-10kHz range. This article presents an overview of the field emphasising the present experimental efforts and the future projects which will make gravitational wave astronomy a reality.
https://doi.org/10.1142/9789812704030_0022
Coincident events were searched for between the gravitational wave (g.w.) detectors EXPLORER and NAUTILUS during the years 1998 and 2001. Excess coincidences were found when the detectors were favorably oriented with respect to the Galactic Disk.
https://doi.org/10.1142/9789812704030_0023
The LIGO interferometers are operating as gravitational wave observatories, with a noise level near an order of magnitude of the goal and the first scientific data recently taken. This data has been analyzed for four different categories of gravitational wave sources; millisecond bursts, inspiralling binary neutron stars, periodic waves from a known pulsar, and stochastic background. Research and development is also underway for the next generation LIGO detector, Advanced LIGO.
https://doi.org/10.1142/9789812704030_0024
An introduction into the fundamental quests addressed in space missions is given. These quests are the exploration of the relativistic gravitational field, the Universality of Free Fall, the Universality of the Gravitational Redshift, Local Lorentz Invariance, the validity of Einstein’s field equations, etc. In each case, the corresponding missions take advantage of the space conditions which are essential for the improvement of the accuracy of the experiments as compared to experiments on ground. A list and a short description of past, current and planned projects is given. Also the key technologies employed in space missions are described.
https://doi.org/10.1142/9789812704030_0025
Our knowledge of Gamma-Ray Burst (GRB) progenitors is based on three cases at relatively low redshift (between 0.01 and 0.2) in which the association with a supernova (SN) has been firmly established. In a number of higher redshift GRBs the presence of a SN has been suggested, although the properties of the SN could not be precisely determined. However, the study of several tens of multiwavelength afterglows has now provided evidence that GRBs are associated with star formation. The observational results which point to this connection are reviewed, and the high energy properties of afterglows and SNe are compared.
https://doi.org/10.1142/9789812704030_0026
We outline the confluence of three novel theoretical fields in our modeling of Gamma-Ray Bursts (GRBs): 1) the ultrarelativistic regime of a shock front expanding with a Lorentz gamma factor ~ 300; 2) the quantum vacuum polarization process leading to an electron-positron plasma originating the shock front; and 3) the general relativistic process of energy extraction from a black hole originating the vacuum polarization process. There are two different classes of GRBs: the long GRBs and the short GRBs. We here address the issue of the long GRBs. The theoretical understanding of the long GRBs has led to the detailed description of their luminosities in fixed energy bands, of their spectral features and made also possible to probe the astrophysical scenario in which they originate. We are specially interested, in this report, to a subclass of long GRBs which appear to be accompanied by a supernova explosion. We are considering two specific examples: GRB980425/SN1998bw and GRB030329/SN2003dh. While these supernovae appear to have a standard energetics of 1049 ergs, the GRBs are highly variable and can have energetics 104 − 105 times larger than the ones of the supernovae. Moreover, many long GRBs occurs without the presence of a supernova. It is concluded that in no way a GRB can originate from a supernova. The precise theoretical understanding of the GRB luminosity we present evidence, in both these systems, the existence of an independent component in the X-ray emission, usually interpreted in the current literature as part of the GRB afterglow. This component has been observed by Chandra and XMM to have a strong decay on scale of months. We have named here these two sources respectively URCA-1 and URCA-2, in honor of the work that George Gamow and Mario Shoenberg did in 1939 in this town of Urca identifying the basic mechanism, the Urca processes, leading to the process of gravitational collapse and the formation of a neutron star and a supernova. The further hypothesis is considered to relate this X-ray source to a neutron star, newly born in the Supernova. This hypothesis should be submitted to further theoretical and observational investigation. Some theoretical developments to clarify the astrophysical origin of this new scenario are outlined.
https://doi.org/10.1142/9789812704030_0027
The cosmic reionization era, which includes formation of the first stars, galaxies, and AGN, is now one of the most active frontiers of cosmological research. We review briefly our current understanding of the early structure formation, and use the ideas about a joint formation of massive black holes (which power the early QSOs) and their host galaxies to employ high-redshift QSOs as probes of the early galaxy formation and primordial large-scale structure. There is a growing evidence for a strong biasing in the formation of the first luminous sources, which would lead to a clumpy reionization. Absorption spectroscopy of QSOs at z ≥ 6 indicates the end of the reionization era at z ~ 6; yet measurements from the WMAP satellite suggest and early reionization at z ~ 10 − 20. The first generation of massive stars, perhaps aided by the early mini-quasars, may have reionized the universe at such high redshifts, but their feedback may have disrupted the subsequent star and galaxy formation, leading to an extended and perhaps multimodal reionization history ending by z ~ 6. Observations of γ-ray bursts from the death events of these putative Population III stars may provide essential insight into the primordial structure formation, reionization, early chemical enrichment, and formation of seed black holes which may grow to become central engines of luminous quasars.
https://doi.org/10.1142/9789812704030_0028
Absorption and reprocessing of Gamma-ray burst radiation in the environment of cosmological GRBs can be used as a powerful probe of the elusive nature of their progenitors. Although it is widely accepted that long-duration GRBs are associated with the deaths of massive stars, at least two fundamentally different scenarios concerning the final collapse are currently being considered. Delayed reddened excesses in the optical afterglows of several GRBs indicate that a supernova, possibly of Type Ic, takes place within a few days of a GRB. This supports the collapsar model, where the core of a massive star collapses promptly to a black hole. Variable X-ray features observed in the prompt and afterglow spectra of several GRBs, suggest that a highly metal enriched and dense shell of material surrounds the sources of GRBs. In some cases, evidence for expansion of these shells with velocities of a substantial fraction of the speed of light has been claimed. These observations have been interpreted as support for the supranova model, where a massive star collapses first to a supramassive neutron star, which later collapses to a black hole following loss of rotational support. In this review paper, I will present a brief overview of the current status of the observational evidence for X-ray spectral features in GRBs, and discuss their implications for both the collapsar and the supranova model.
https://doi.org/10.1142/9789812704030_0029
This rapporteur review summarizes results presented in Parallel Session GBT2 (Gamma Ray Burst Theory 2) on the Collapsar and Supranova Models held 25 July 2003 at the 10th Marcel Grossmann Meeting on General Relativity, Rio de Janeiro, Brazil. A central issue in GRB studies is the process whereby energy is released from the GRB engine. One scenario is the collapsar model, where the evolved stellar core promptly collapses to a black hole surrounded by a massive, intermittently-accreting torus of nuclear density material. A second scenario is the supranova model, where the first step of a two-step collapse process leaves behind a rapidly rotating neutron star stabilized by rotation, which later collapses to a black hole while making the GRB. In the supranova model, a powerful pulsar wind lasting days to weeks after the supernova makes distinctive signatures from the heating of the supernova remnant (SNR) shell, which should be discovered with Swift. This model also predicts nonstandard reddened excesses from the cooling SNR due to the range of delays between the two collapse events, contrary to observations of SN emissions from low redshift GRBs which favor the collapsar model. The observational basis for both models is critically reviewed. Problems of the collapsar/internal shock scenario powered by the Blandford-Znajek process, and a two-collapse supranova scenario powered by the B-Z process or the Penrose mechanism, or even Ruffini’s pair electromagnetic pulse, are briefly discussed. In view of the standard γ-ray energy upper limit, an external shock model involving jetted relativistic ejecta powered by an explosive event provides the most consistent explanation for GRB observations. An outline of a GRB model is proposed where the second collapse takes place within minutes to hours after the primary SN event, during which time loss of centrifugal support along the rotation axis of the neutron star provides a relatively baryon-clean polar environment along which a newly formed, rapidly spinning black hole drives collimated baryon-dilute outflows.
https://doi.org/10.1142/9789812704030_0030
Recent studies have shown that strong correlations are observed between the low frequencies (1–10 Hz) of quasiperiodic oscillations (QPOs) and the spectral power law index of several Black Hole (BH) candidate sources, in low hard state, steep power-law (soft) state and in transition between these states. The observations indicate that the X-ray spectrum of such state (phases) show the presence of a power-law component and are sometimes related to simultaneous radio emission indicated the probable presence of a jet. Strong QPOs (> 20% rms) are present in the power density spectrum in the spectral range where the power-law component is dominant (i.e. 60–90%). This evidence contradicts the dominant long standing interpretation of QPOs as a signature of the thermal accretion disk. We present the data from the literature and our own data to illustrate the dominance of power-law index-QPO frequency correlations. We provide a model, that identifies and explains the origin of the QPOs and how they are imprinted on the properties of power-law flux component. We argue the existence of a bounded compact coronal region which is a natural consequence of the adjustment of Keplerian disk flow to the innermost sub-Keplerian boundary conditions near the central object and that ultimately leads to the formation of a transition layer (TL) between the adjustment radius and the innermost boundary. The model predicts two phases or states dictated by the photon upscattering produced in the TL: (1) hard state, in which the TL is optically thin and very hot (kT ≳ 50 keV) producing photon upscattering via thermal Componization; the photon spectrum index Γ ~ 1.7 for this state is dictated by gravitational energy release and Compton cooling in an optically thin shock near the adjustment radius; (2) a soft state which is optically thick and relatively cold (kT ≲ 5 keV); the index for this state, Γ ~ 2.8 is determined by soft-photon upscattering and photon trapping in converging flow into BH. In the TL model for corona the QPO frequency νhigh is related to the gravitational (close to Keplerian) frequency νK at the outer (adjustment) radius and νlow is related to the TL’s normal mode (magnetoacoustic) oscillation frequency νMA. The observed correlations between index and low and high QPO frequencies are readily explained in terms of this model. We also suggest a new method for evaluation of the BH mass using the index-frequency correlation.
https://doi.org/10.1142/9789812704030_0031
I review the current knowledge of high-energy emission from extragalctic jets. First I discuss γ-ray emission from blazars, which provides us numerous precious information on the innermost portions of the relativistic jets. I describe the constraints on the dynamics of the jet from the subpc to the pc scale provided by recent VLBI studies of TeV sources, together with the modelling of the emission from the blazar jet. Finally I discuss high energy emission from large scale jets as seen by Chandra and I report on the expected gamma-ray emission from large-scale regions of jets.
https://doi.org/10.1142/9789812704030_0032
Evidence is mounting that some Ultra-luminous X-ray sources (ULXs) may contain accreting intermediate-mass black holes (IMBHs). We review the current observational evidence for IMBH-ULXs. While low-luminosity ULXs with LX ≲ 1039.5 erg s-1 (assuming isotropic emission) are consistent with mildly X-ray beamed high-mass X-ray binaries, there are a considerable number of ULXs with larger X-ray luminosities that are not easily explained by these models. Recent high-S/N XMM X-ray spectra are showing an increasing number of ULXs with “cool disks” – accretion disks with multicolor blackbody inner disk temperatures kTin ~ 0.1–0.2 keV, consistent with accreting IMBHs. Optical emission-line studies of ULX nebulae provide useful measurements of X-ray energetics, and can thus determine if the X-rays are emitted isotropically. Analysis of an optical spectrum of the Ho II ULX nebulae implies an X-ray energy source with ~1040 erg s-1 is present, suggesting an isotropically-emitting IMBH. The spatial coincidence of ULXs with dense star clusters (young clusters and globular clusters) suggests that IMBHS formed in these clusters could be the compact objects in the associated ULXs. Quasi-periodic oscillations and frequency breaks in XMM power-density spectra of ULXs also suggest that the black hole masses are more consistent with IMBHs than stellar-mass black holes. Since all of these ULXs with evidence for IMBHs are high-luminosity ULXs, i.e., LX ≳ 1040 erg s-1, we suggest that this class of ULXs is generally powered by accreting IMBHs.
https://doi.org/10.1142/9789812704030_0033
We show that the rapid formation of super-massive black holes in quasars can indeed be understood in terms of major galaxy mergers followed by disk accretion. The necessary short disk evolution time can be achieved provided the disk viscosity is sufficiently large, which, for instance, is the case for hydrodynamic turbulence, unlimited by shock dissipation. We present numerical calculations for a representative case. This general picture can account for (a) the presence of highly luminous quasars at redshifts z > 6; (b) for the peak in quasar activity at z ~ 2; and (c) for a subsequent rapid disappearance of quasars at later epochs.
https://doi.org/10.1142/9789812704030_0034
We discuss how disk models may limit the scope of identifying astrophysical black holes. We show that the standard Keplerian thin disk model, the thick disk model, slim disks, ADAFs etc. are fundamentally limited. We present the most complete solution to date called the advective accretion disk and discuss how it has the scope to address every observational aspects of a black hole. Though the magnetic field is not fully self-consistently taken care of yet, the details with which the present model can handle various issues successfully are astounding. We present some of the examples.
https://doi.org/10.1142/9789812704030_0035
We generate the 2-dimensional high-resolution density field of galaxies of the Early Data Release of the Sloan Digital Sky Survey and the Las Campanas Redshift Survey with a smoothing length 0.8 h-1 Mpc to extract clusters and groups of galaxies, and a low-resolution field with a smoothing length 10 h-1 Mpc to extract superclusters of galaxies. We investigate properties of density field clusters and superclusters and compare the properties of these clusters and superclusters with those of Abell clusters, and superclusters found on the basis of Abell clusters. We found that clusters in a high-density environment have a luminosity a factor of 5 – 10 higher than in a low-density environment. Clusters and superclusters in the Northern slice of SDSS are much richer than those in the Southern slice.
https://doi.org/10.1142/9789812704030_0036
The evidences in favor of neutrino oscillations are reviewed and shown to be explained by the most simple and natural scheme of mixing of three massive neutrinos. The connections with tritium β-decay experiments, cosmological measurements of neutrino masses and neutrinoless double-β decay are discussed.
https://doi.org/10.1142/9789812704030_0037
I review the progress made in the physics and astrophysics of black hole jet systems of all masses. The observations of stellar black hole jet sources (microquasars) provide clues to gain insight into Special Relativity effects in the jets, and strong field General Relativity phenomena, such as the quasi-periodic oscillations in the radiated power, and the redshifted iron lines produced close the horizon. Besides, microquasars provide clues on Astrophysical issues such as the accretion-jet connection, collapsars and black hole formation, the black hole spin, and a diversity of high energy astrophysical phenomena.
https://doi.org/10.1142/9789812704030_0038
In the past, they were recognized as the most destructive force in nature. Now, following a cascade of astonishing discoveries, supermassive black holes have undergone a dramatic shift in paradigm—these objects may have been critical to the formation of structure in the early universe, spawning bursts of star formation and planets. As many as 300 million of them may now be lurking through the vast expanses of the observable cosmos. The most accessible among them appears to be lurking at the center of our own Galaxy. In this review, we will examine the evidence that has brought us to this point, and we will see why the astrophysical community is now looking with great anticipation to the imminent breakthroughs that will permit us to see the shadow of a black hole within this decade.
https://doi.org/10.1142/9789812704030_0039
This talk reviews the constraints imposed by binary-pulsar data on gravity theories, focusing on “tensor-scalar” ones which are the best motivated alternatives to general relativity. We recall that binary-pulsar tests are qualitatively different from solar-system experiments, because of nonperturbative strong-field effects which can occur in compact objects like neutron stars, and because one can observe the effect of gravitational radiation damping. Some theories which are strictly indistinguishable from general relativity in the solar system are ruled out by binary-pulsar observations. During the last months, several impressive new experimental data have been published. Today, the most constraining binary pulsar is no longer the celebrated (Hulse-Taylor) PSR B1913+16, but the neutron star-white dwarf system PSR J1141−6545. In particular, in a region of the “theory space”, solar-system tests were known to give the tightest constraints; PSR J1141−6545 is now almost as powerful. We also comment on the possible scalar-field effects for the detection of gravitational waves with future interferometers. The presence of a scalar partner to the graviton might be detectable with the LISA space experiment, but we already know that it would have a negligible effect for LIGO and VIRGO, so that the general relativistic wave templates can be used securely for these ground interferometers.
https://doi.org/10.1142/9789812704030_0040
The nature and the location of the lenses discovered in the microlensing surveys done so far towards the LMC remain unclear. Motivated by these questions we computed the optical depth for the different intervening populations and the number of expected events for self-lensing, using a recently drawn coherent picture of the geometrical structure and dynamics of the LMC. By comparing the theoretical quantities with the values of the observed events it is possible to put some constraints on the location and the nature of the MACHOs. Clearly, given the large uncertainties and the few events at disposal it is not yet possible to draw sharp conclusions, nevertheless we find that up to 3-4 MACHO events might be due to lenses in LMC, which are most probably low mass stars, but that hardly all events can be due to self-lensing. The most plausible solution is that the events observed so far are due to lenses belonging to different intervening populations: low mass stars in the LMC, in the thick disk, in the spheroid and some true MACHOs in the halo of the Milky Way and the LMC itself. We report also on recent results of the SLOTT-AGAPE and POINT-AGAPE collaborations on a search for microlensing events in direction of the Andromeda galaxy, by using the pixel method. The detection of 4 microlensing events, some likely to be due to self-lensing, is discussed. One microlensing light curve is shown to be compatible with a binary lens. The present analysis still does not allow us to draw conclusions on the MACHO content of the M31 galaxy.
https://doi.org/10.1142/9789812704030_0041
The EROS-II microlensing survey has been operated for 7 years from the ESO La Silla Observatory (Chile). Observations ended on 2003, February 28th. Its main purpose was the search for gravitational microlensing amplification of magellanic stars induced by baryonic compact objects (MACHOs). Other topics were however covered, such as microlensing searches toward the galactic center and plane, nearby high proper motion halo dwarf stars, supernovæ and variable stars. In this review we will present a summary of the microlensing results achieved up to now, and propects for the completion of these analysis.
https://doi.org/10.1142/9789812704030_0042
This rapporteur review covers selected results presented in the Parallel Session HEA2 (High Energy Astrophysics 2) of the 10th Marcel Grossmann Meeting on General Relativity, held in Rio de Janeiro, Brazil, July 2003. The subtopics are: ultra high energy cosmic ray anisotropies, the possible connection of these energetic particles with powerful gamma ray bursts, and new exciting scenarios with a strong neutrino-nucleon interaction in the atmosphere.
https://doi.org/10.1142/9789812704030_0043
The present status of anisotropy studies for the highest energy cosmic rays is presented including the first full sky survey. Directions and prospects for the future are also discussed in light of new statistical methods and the last quantities of data expected in the near future from the Pierre Auger Observatory.
https://doi.org/10.1142/9789812704030_0044
After a short review of the ultrahigh energy cosmic ray puzzle – the apparent observation of cosmic rays originating from cosmological distances with energies above the expected Greisen-Zatsepin-Kuzmin cutoff 4 × 1019 eV – we consider strongly interacting neutrino scenarios as an especially interesting solution. We show that all features of the ultrahigh energy cosmic ray spectrum from 1017 eV to 1021 eV can be described to originate from a simple power-like injection spectrum of protons, under the assumption that the neutrino-nucleon cross-section is significantly enhanced at center of mass energies above ≈ 100 TeV. In such a scenario, the cosmogenic neutrinos produced during the propagation of protons through the cosmic microwave background initiate air showers in the atmosphere, just as the protons. The total air shower spectrum induced by protons and neutrinos shows excellent agreement with the observations. We shortly discuss TeV-scale extensions of the Standard Model which may lead to a realization of a strongly interacting neutrino scenario. We emphasize, however, that such a scenario may even be realized within the standard electroweak model: electroweak instanton/sphaleron induced processes may get strong at ultrahigh energies. Possible tests of strongly interacting neutrino scenarios range from observations at cosmic ray facilities and neutrino telescopes to searches at lepton nucleon scattering experiments.
https://doi.org/10.1142/9789812704030_0045
We use Clebsch potentials and an action principle to derive a complete closed system of gauge invariant equations for sound superposed on a general background flow 1. Our system reduces to the Unruh (1981) and Pierce (1990) wave equations when the flow is irrotational, or slowly varying.
https://doi.org/10.1142/9789812704030_0046
We investigate the stability of a spatially homogeneous and isotropic non-singular cosmological model. We show that the complete set of independent perturbations (the electric part of the perturbed Weyl tensor and the perturbed shear) are regular and well behaved functions which have no divergences, contrary to previous claims in the literature.
https://doi.org/10.1142/9789812704030_0047
In the past few years, there has been an increasing interest on bouncing cosmological models. In this contribution, I first describe the conditions for the occurrence of bounces in the far past of the Standard Cosmological Model. I enumerate the matter models and theories containing General Relativity in which these conditions can be fulfilled. Then, I describe the evolution of cosmological perturbations in such bouncing models, I discuss how a scale invariant spectrum of perturbations can be obtained in this framework, and whether it is possible to verify observationally if our Universe has ever experienced a bounce. Finally, I make a critical comparison between bouncing and usual inflationary models.
https://doi.org/10.1142/9789812704030_0048
In the late eighties the European Southern observatory embarked on the VLT project. Four eight-metre class telescopes to be built in the Chilean Atacama desert and to be operated both as stand-alone instruments and in combined interferometric mode. The selected site was Cerro Paranal. Construction in earnest started in the early nineties and the first 8.2-m telescope had first light in May of 1998. Since the middle of 2001 all four telescopes have been operating with high efficiency and impressive scientific output. The interferometric mode is also operational and additional auxiliary telescopes that improve the UV-plane coverage are arriving at the observatory. In this article the capabilities of the observatory are described and some of the more exciting scientific results reviewed. The next generation extremely large telescope project is presented.
https://doi.org/10.1142/9789812704030_0049
We report on preliminary results of IBIS/ISGRI observations of Compact Galactic Sources in the Cygnus Region during the INTEGRAL Performance and Verification (PV) phase in November and December 2002. The main target of the PV phase was the Black Hole binary Cyg X-1 and the total observing time was ~ two million of seconds but other well known hard X-ray sources were in the instrument field of view. We will focus on the 3 brightest sources: Cyg X-1, the microquasar Cyg X-3 and the transient X-ray pulsar EXO 2030+375. During the observing period Cyg X-1 was in its characteristic low/hard state, in which a few flares and dips were observed. No state changes were observed, but spectral variations associated with flares were clearly detected. During staring observations of Cyg X-1, the peculiar microquasar Cyg X-3 was at a ~ 9° distance from the pointing direction. From these observations we obtained two light curve in the 20-40 keV and 40-100 keV energy band which exhibits the characteristic 4.8-hour modulation with a shape consistent with a standard template. The two light curves' phase zero have no measurable offset and their values are consistent with historical ephemeris. Finally from 9 to 21 December 2002 IBIS/ISGRI detected one periodic outburst of the transient X-ray pulsar EXO 2030+375. The outburst light curve and spectral shape are consistent with already published results. The IBIS/ISGRI results demonstrate that the INTEGRAL observatory offers a unique capability for studying temporal and spectral behavior of several bright sources in the FOV.
https://doi.org/10.1142/9789812704030_0050
We review the essential features of the Chaplygin gas cosmological models and provide some examples of appearance of the Chaplygin gas equation of state in modern physics. A possible theoretical basis for the Chaplygin gas in cosmology is discussed. The relation with scalar field and tachyon cosmological models is also considered.
https://doi.org/10.1142/9789812704030_0051
The discovery of a supernova emerging at late times in the afterglow of GRB 030329 has apparently settled the issue on the nature of the progenitor of gamma-ray bursts. We now know that at least a fraction of cosmological GRBs are associated with the death of massive stars, and that the two explosions are most likely simultaneous. Even though the association was already suggested for GRB 980425, the peculiarity of that burst did not allow to extend the association to all GRBs. The issue is now to understand whether GRB 030329 is a “standard burst” or not. I will discuss some peculiarities of GRB 030329 and its afterglow lightcurve showing how, rather than a classical cosmological GRB, it looks more like a transition object linking weak events like GRB 980425 to the classical long duration GRBs. I will also discuss the problems faced by the Hypernova scenario to account for the X-ray features detected in several GRBs and their afterglows.
https://doi.org/10.1142/9789812704030_0052
Multidimensional cosmological models with factorizable geometry and their dimensional reduction to effective four-dimensional theories are analyzed on sensitivity to different scalings. It is shown that a non-correct gauging of the effective four-dimensional gravitational constant within the dimensional reduction results in a non-correct rescaling of the cosmological constant and the gravexciton/radion masses. The relationship between the effective gravitational constants of theories with different dimensions is discussed for setups where the lower dimensional theory results via dimensional reduction from the higher dimensional one and where the compactified space components vary dynamically.
https://doi.org/10.1142/9789812704030_0053
The rapporteur summary is presented by reviewing the contributions at the APT5 parallel session on radiative transfer in relativistic astrophysics.
https://doi.org/10.1142/9789812704030_0054
We report on results obtained for a class of N = 1 supergravity inflationary models in which the evolution of the inflaton dynamics is controlled by a single power (quadratic or cubic in the inflaton field) at the point where the observed density fluctuations are produced. We find that the so-called η-problem encountered in such models can be naturally solved in the context of braneworld scenario for some range of α, the ratio of the dominant term in the inflationary potential and the brane tension, and the value of the inflaton field at the end of inflation, ϕF. We have also shown that successful tachyonic inflation can be achieved in the context of a five-dimensional ADS braneworld scenario. We argue that the bosonic String Field Theory action around the top of the tachyon potential does allow a sufficiently long period of inflation provided the string remains very weakly coupled and the string energy density τ3 is sufficiently below the Planck scale to render the low-energy four-dimensional gravity theory description reliable.
https://doi.org/10.1142/9789812704030_0055
We study the cosmology of the Randall-Sundrum brane-world where the Einstein-Hilbert action is modified by curvature correction terms: a four-dimensional scalar curvature from induced gravity on the brane, and a five-dimensional Gauss-Bonnet curvature term. The combined effect of these curvature corrections to the action removes the infinite-density big bang singularity, although the curvature can still diverge for some parameter values. A radiation brane undergoes accelerated expansion near the minimal scale factor, for a range of parameters. This acceleration is driven by the geometric effects, without an inflaton field or negative pressures. At late times, conventional cosmology is recovered.
https://doi.org/10.1142/9789812704030_0056
Silicon double paddle oscillators are well suited for the detection of weak forces because of their high Q factor (about 105 at room temperature). We describe an experiment aimed at the detection of gravitational forces between masses at sub-mm distance using such an oscillator. Gravitational excitation is produced by a rotating aluminium disk with platinum segments. The force sensitivity of this apparatus is about 10 fN at room temperature for 1000 s averaging time at room temperature. The current limitations to detection of the gravitational force are mentioned.
https://doi.org/10.1142/9789812704030_0057
The annihilation of neutralino dark matter may result in observable signals in different wavelength. In the present paper we will discuss the effect of neutralino annihilation in the halo of our Galaxy and in its center. According to high resolution cold dark matter simulations, large virialized halos are formed through the constant merging of smaller halos appeared at previous times. At each epoch, dark matter halos have then a clumpy component which is made of these merging subhalos. The annihilation of dark matter in these clumps, always present in the halo of our Galaxy, may be responsible for appreciable fluxes of γ-rays, potentially detectable. We find that, depending on the fundamental parameters of the clump density profile and on the distribution of clumps in the Galactic halo, the contribution to the diffuse γ-ray background from clumps could be used to obtain constraints on the neutralino properties such as mass and annihilation cross section. On the other hand the annihilation of neutralino dark matter in the galactic center may result in radio signals. At the galactic center, infact, the accretion flow onto the central black hole sustains strong magnetic fields that can induce synchrotron emission, in the radio wavelength, by electrons and positrons generated in neutralino annihilations during advection onto the black hole. We find that the observed emission from the galactic center is consistent with neutralinos following a Navarro Frenk and White density profile at the galactic center while it is inconsistent with the presence of a spike density profile, supposed to be generated by the formation history of the central black hole.
https://doi.org/10.1142/9789812704030_0058
Evidence is mounting for the existence of intermediate mass black holes, which occupy the mass spectrum somewhere between the stellar-mass variety (a few to tens of solar masses) and the supermassive variety (millions to billions of solar masses). Theoretical stellar and black hole evolutionary models predict intermediate mass black holes, but until recently, there have been few observational signs of them. A new class of x-ray sources with apparent luminosities that are tens to thousands of times the Eddington limit for a neutron star is offering hope of finding intermediate mass black holes. However, the nature of these x-ray sources is still controversial. I will review observations of ultraluminous x-ray sources and the arguments for and against intermediate mass black holes. I suggest that, instead of just concentrating on ultraluminous x-ray sources as a class, the chance of finding genuine intermediate mass black holes might improve if we concentrate on places where we most expect to find them from an evolutionary standpoint.
https://doi.org/10.1142/9789812704030_0059
According to hierarchical galaxy merger models, binary black holes should form frequently, and should be common in the cores of galaxies. The presence of massive black hole binaries has been invoked to explain a number of class properties of different types of galaxies, and in triggering various forms of activity. Coalescing massive black hole binaries are powerful emitters of gravitational waves. The search for such binary black holes is therefore of great interest for key topics in astrophysics ranging from galaxy formation to activity in galaxies. This review concentrates on the observational evidence for the presence of supermassive binary black holes in galaxies, and briefly summarizes scenarios for their formation and evolution.
https://doi.org/10.1142/9789812704030_0060
Theodor Kaluza (1885–1954) attracted the attention of the physical community in 1921 with his unified field theory of gravitation and electromagnetism in five dimensions. Despite Einstein's great interest in Kaluza's theory, 50 years elapsed before it contributed toward a paradigm shift in modern theoretical physics. The biography of this unknown scientist is briefly presented along with an outline of his four physical theories. There follows a short discussion of Kaluza's five-dimensional unified field theory and the impression it made on Einstein.
https://doi.org/10.1142/9789812704030_0061
Progress and plans are reported for a program of gravitational physics experiments using cryogenic torsion pendula undergoing large amplitude torsional oscillation. The program includes a UC Irvine project to measure the gravitational constant G and joint UC Irvine–U. Washington projects to test the gravitational inverse square law at a range of about 10 cm and to test the weak equivalence principle.
https://doi.org/10.1142/9789812704030_0062
We examine how the new forthcoming Earth gravity models from the CHAMP and, especially, GRACE missions could improve the measurement of the general relativistic Lense–Thirring effect according to the various kinds of observables which could be adopted. In a very preliminary way, we use the recently released EIGEN2 CHAMP–only and GRACE01S GRACE–only Earth gravity models in order to assess the impact of the mismodelling in the even zonal harmonic coefficients of geopotential which represents one of the major sources of systematic errors in this kind of measurement.
https://doi.org/10.1142/9789812704030_0063
Quantum vacuum energy has been known to have observable consequences since 1948 when Casimir calculated the force of attraction between parallel uncharged plates, a phenomenon confirmed experimentally with ever increasing precision. Casimir himself suggested that a similar attractive self-stress existed for a conducting spherical shell, but Boyer obtained a repulsive stress. Other geometries and higher dimensions have been considered over the years. Local effects, and divergences associated with surfaces and edges have been investigated by several authors. Quite recently, Graham et al. have re-examined such calculations, using conventional techniques of perturbative quantum field theory to remove divergences, and have suggested that previous self-stress results may be suspect. Here we show that most of the examples considered in their work are misleading; in particular, it is well-known that in two dimensions a circular boundary has a divergence in the Casimir energy for massless fields, while for general dimension D not equal to an even integer the corresponding Casimir energy arising from massless fields interior and exterior to a hyperspherical shell is finite. It has also long been recognized that the Casimir energy for massive fields is divergent for curved boundaries. These conclusions are reinforced by a calculation of the relevant leading Feynman diagram in D dimensions. Divergences do occur in third order, as has been recognized for many years, but this logarithmic divergence is of questionable relevance to real shells.
https://doi.org/10.1142/9789812704030_0064
A new solution for the final state of gravitational collapse is proposed. A simple model with a purely vacuum energy de Sitter interior with pv = −ρv, and Schwarzschild exterior of arbitrary total mass M is outlined. These are separated by a thin shell with a small but finite proper thickness ℓ of fluid with eq. of state p = +ρ. This boundary layer is a quantum transition region which replaces the event horizons of the classical de Sitter and Schwarzschild solutions, through which the vacuum energy changes. The new solution has no singularities, no event horizons, and a global time. Its entropy is maximized under small fluctuations and is given by the standard hydrodynamic entropy of the thin shell, which is of order kBℓMc/ħ, instead of the Bekenstein-Hawking entropy formula, SBH = 4πkBGM2/ħc. Unlike black holes, the new solution is thermodynamically stable and has no information paradox.
https://doi.org/10.1142/9789812704030_0065
We discuss type IIB orientifolds with D-branes, and NSNS and RR field strength fluxes, with D-brane sectors leading to open string spectra with non-abelian gauge symmetry and charged chiral fermions. The closed string field strengths generate a scalar potential stabilizing most moduli. Hence the models combine the advantages of leading to phenomenologically interesting (and even semirealistic) chiral open string spectra, and of stabilizing the dilaton and most geometric moduli. We describe the explicit construction of two classes of non-supersymmetric models on T6 and orbifolds/orientifolds thereof, with chiral gauge sector arising from configurations of D3-branes at singularities, and from D9-branes with non-trivial world-volume magnetic fields. The latter examples yield the chiral spectrum of just the Standard Model.
https://doi.org/10.1142/9789812704030_0066
The study of the universe at energies above 100 GeV is a relatively new and exciting field. The current generation of pointed instruments have detected TeV gamma rays from at least 10 sources and the next generation of detectors promises a large increase in sensitivity. We have also seen the development of a new type of all-sky monitor in this energy regime based on water Cherenkov technology (Milagro). To fully understand the universe at these extreme energies requires a highly sensitive detector capable of continuously monitoring the entire overhead sky. Such an instrument could observe prompt emission from gamma-ray bursts and probe the limits of Lorentz invariance at high energies. With sufficient sensitivity it could detect short transients (~15 minutes) from active galaxies and study the time structure of flares at energies unattainable to space-based instruments. Unlike pointed instruments a wide-field instrument can make an unbiased study of all active galaxies and enable many multi-wavelength campaigns to study these objects. This paper describes the design and performance of a next generation water Cherenkov detector. To attain a low energy threshold and have high sensitivity the detector should be located at high altitude (> 4km) and have a large area (~40,000 m2). Such an instrument could detect gamma ray bursts out to a redshift of 1, observe flares from active galaxies as short as 15 minutes in duration, and survey the overhead sky at a level of 50 mCrab in one year.
https://doi.org/10.1142/9789812704030_0067
For many years, the most active area of quantum cosmology has been the issue of choosing boundary conditions for the wave function of a universe. Recently, loop quantum cosmology, which is obtained from loop quantum gravity, has shed new light on this question. In this case, boundary conditions are not chosen by hand with some particular physical intuition in mind, but they are part of the dynamical law. It is then natural to ask if there are any relations between these boundary conditions and the ones provided before. After discussing the technical foundation of loop quantum cosmology which leads to crucial differences to the Wheeler–DeWitt quantization, we compare the dynamical initial conditions of loop quantum cosmology with the tunneling and the no-boundary proposal and explain why they are closer to the no-boundary condition. We end with a discussion of recent developments and several open problems of loop quantum cosmology.
https://doi.org/10.1142/9789812704030_0068
A brief update on some key topics on cosmic microwave background radiation anisotropies and polarization is given with special emphasis on the latest results for cosmological parameter estimation.
https://doi.org/10.1142/9789812704030_0069
We address the issue of the possible detection of non-trivial topologies in the context of a dark-energy and dark-matter unification. In this so-called quartessence model, a single fluid is responsible for both the recent accelerated expansion and structure formation. We focus on the particular case of a universe dominated by a generalized Chaplygin gas (GCG), and investigate how sensitive to the model parameters the detectability of cosmic topology is. We discuss which manifolds could have potentially detecatable topologies within current observational bounds. Finally, we examine constraints on the parameter of the GCG equation of state, which arises from a possible detection of the cosmic topology. Our analysis shows that alternatives to the ΛCDM model lead to changes on the detectability of the cosmic topology, motivating further investigations into other models, such as in scalar field quintessence.
https://doi.org/10.1142/9789812704030_0070
The general solution for a stationary circularly symmetric metric ds2 = −N(r)2dt2 + dr2/F(r)2 + r2 (dϕ + W(r)dt)2, coupled to a differentially rotating perfect fluid and a cosmological constant, is determined through arbitrarily given functions N(r), and W(r), which allow the evaluation of the structural function F(r), the energy density, and the isotropic pressure.
https://doi.org/10.1142/9789812704030_0071
The latest results of the measurements on the vibration isolation system of MiniGRAIL at room temperature as well as an overview of the results of the ultra-cryogenic tests with the dilution refrigerator are presented. Two types of capacitive transducers have been developed and tested separately in a cryogenic set-up. The rosette-design transducers have been mounted on the sphere and tested at low temperature. We also report the progress in developing a two-mode inductive transducer with an Al5056 resonator as a second resonating mass and a Nb film coil as superconducting pick-up loop. Furthermore, we developed and tested two double-SQUID systems based on two types of dc SQUIDs as sensors and a DROS as the preamplifier stage.
https://doi.org/10.1142/9789812704030_0072
I review the conceptual, algebraical, and geometrical structure of Doubly Special Relativity. I also speculate about the possible relevance of DSR for quantum gravity phenomenology.
https://doi.org/10.1142/9789812704030_0073
We review constraints on the short-range non-Newtonian gravity obtained recently from the Casimir force measurements between metals and from gravitational experiments of Eötvos- and Cavendish-type. Corrections to the Newton's law of gravitation at small distances are predicted by the multi-dimensional theories with large extra dimensions. They are generated also by the exchange of light and massless elementary particles predicted in many extensions to the Standard Model. It is shown that the Casimir force measurements are of profound importance as a test for predictions of fundamental physical theories.
https://doi.org/10.1142/9789812704030_0074
The AdS/CFT correspondence is an exact duality between string theory in anti-de Sitter space and conformal field theories on its boundary. Inspired in this correspondence some relations between strings and non conformal field theories have been found. Exact dualities in the non conformal case are intricate but approximations can reproduce important physical results. A simple approximation consists in taking just a slice of the AdS space with a size related to an energy scale. Here we will discuss how this approach can be used to reproduce the scaling of high energy QCD scattering amplitudes. Also we show that very simple estimates for glueball mass ratios can emerge from such an approximation.
https://doi.org/10.1142/9789812704030_0075
A family of generalized S-brane solutions with orthogonal intersection rules and n Ricciflat factor spaces in the theory with several scalar fields, antisymmetric forms and multiple scalar potential is considered. Two subclasses of solutions with power-law and exponential behaviour of scale factors are singled out. These subclasses contain sub-families of solutions with accelerated expansion of certain factor spaces. The solutions depend on charge densities of branes, their dimensions and intersections, dilatonic couplings and the number of dilatonic fields. Certain examples of solutions with exponential dependence of one scale factor and constant scale factors of "internal" spaces (e.g. "Freund-Rubin" type solutions) are also considered.
https://doi.org/10.1142/9789812704030_0076
The possible relevance of the decay of accelerated protons in the context of high energy astrophysics is discussed.
https://doi.org/10.1142/9789812704030_0077
Current phenomenological and cosmological constraints on supersymmetric dark matter will be reviewed. Particular attention will be given to the effect of the WMAP results on the CDM density.
https://doi.org/10.1142/9789812704030_0078
Propagation of fermions in curved space-time generates a gravitational interaction due to the coupling between spin of the fermion and space-time curvature. This gravitational interaction, which is an axial-vector appears as the CPT violating term in the Lagrangian, can generate the neutrino asymmetry in Universe. If the back-ground metric is spherically asymmetric, say, of rotating black hole, the axisymmetric space-time of an expanding Universe, this interaction as well as the neutrino asymmetry is non-zero.
https://doi.org/10.1142/9789812704030_0079
A new method to study the effects of neutrino masses on a supernova neutrino signal is proposed. The method relies exclusively on the analysis of the full statistics of neutrino events, it is independent of astrophysical assumptions, and does not require the observation of any additional phenomenon to trace possible delays in the neutrino arrival times. A statistics of several thousands of events as could be collected by SuperKamiokande, would allow to explore a neutrino mass range somewhat below 1 eV.
https://doi.org/10.1142/9789812704030_0080
We introduce decoherence phenomena to Neutrino flavor oscillation in the most general way. With the results we adjust the KamLAND data and obtain a good fit.
https://doi.org/10.1142/9789812704030_0081
Recent constraints on neutrino mass and chemical potential are discussed with application to large scale structure formation. Power spectra in cosmological model with hot and cold dark matter, baryons and cosmological term are calculated in newtonian approximation using linear perturbation theory. All components are considered to be ideal fluids. Dissipative processes are taken into account by initial spectrum of perturbations so the problem is reduced to a simple system of equations. Our results are in good agreement with those obtained before using more complicated treatments.
https://doi.org/10.1142/9789812704030_0082
In this short contribution, a possible strategy to determine some of the yet unknown neutrino oscillation parameters by combining information from two long-baseline oscillation experiments of JHF and NuMI projects is discussed.
https://doi.org/10.1142/9789812704030_0083
A model based on SUSY SO(10) combined with SU(2) family symmetry is constructed. In contrast with the commonly used effective operator approach, 126-dim Higgs fields are utilized to construct the Yukawa sector. The symmetric mass textures arising from the left-right symmetry breaking chain of SO(10) give rise to very good predictions for quark and lepton masses and mixings and three angles of the unitarity triangle. In the neutrino sector, our predictions are in good agreement with results from atmospheric neutrino experiments. Our model gives rise to the LMA solution to the solar neutrino anomaly. The prediction for the |Ueν3| element in the MNS matrix is close to the sensitivity of current experiments; thus the validity of our model can be tested in the near future. We also investigate the correlation between the |Ueν3| element and tan2θ⊙ in a general two-zero neutrino mass texture.
https://doi.org/10.1142/9789812704030_0084
The recent analysis of the cosmic microwave background data carried out by the WMAP team seems to show that the sum of the neutrino masses is < 0.7 eV. However, this result is not model-independent, depending on precise assumptions on the cosmological model. We study how this result is modified when the assumption of perfect lepton symmetry is dropped out.
https://doi.org/10.1142/9789812704030_0085
Present status of spin flavor precession (SFP) in the Sun is reviewed. Using the recent solar neutrino data it is shown that this mechanism is disfavored as a leading solution to the solar neutrino problem. The case of SFP as a sub-leading solution is also discussed. In this case, it is shown that the recent KamLAND constraint on solar anti-neutrino flux provides a stringent constraint on the neutrino magnetic moment down to μν ≤ few × 10−12.
https://doi.org/10.1142/9789812704030_0086
I review the results obtained with recent XMM-Newton and INTEGRAL observations of the Center of our Galaxy, and concerning Sgr A*, the radiative counterpart of the massive black hole at the galactic nucleus. The X-ray observations performed in 2001 and 2002 have led to the discovery of bright X-ray flares from Sgr A* in the range 2-10 keV confirming previous Chandra detection and opening new perspectives to understand the processes at work in this object. The INTEGRAL observations of spring 2003 have provided evidence for an excess in the energy range 20-100 keV in the central 10′ of the Galaxy. With a measured flux of ~ 3 mCrabs the excess is compatible with a point source located at the Sgr A* position and a contribution to the measured flux from the massive black hole cannot be excluded. I will mention the implications of these results on the proposed models of Sgr A* and the future observational perspectives.
https://doi.org/10.1142/9789812704030_0087
We present the results we have obtained on the non-thermal hard X-ray emission from IC443, a supernova remnant interacting with molecular cloud (MC), from the initial discovery with BeppoSAX/PDS to the most recent results with XMM/Newton. This remnant has been detected up to EGRET bandwidth, and we have resolved part of the hard emission as 1) a plerion nebula with a compact central object, 2) a set of isolated point sources in the MC interaction regions, and 3) a diffuse extended component. We introduce the models we have invoked to explain all these components and the problems still open.
https://doi.org/10.1142/9789812704030_0088
X-ray observations of black hole X-ray transients in their quiescent phase show that transient systems containing neutron stars are significantly dimmer than those containing black holes, as expected since black holes have no solid surface, in agreement with the predictions of the Advection Dominated Accretion Flow (ADAF) models.
https://doi.org/10.1142/9789812704030_0089
Analysis of observations with XMM-Newton have made a significant contribution to the study of Gamma-ray Burst (GRB) X-ray afterglows. The effective area, bandpass and resolution of the EPIC instrument permit the study of a wide variety of spectral features. In particular, strong, time-dependent, soft X-ray emission lines have been discovered in some bursts. The emission mechanism and energy source for these lines pose major problems for the current generation of GRB models. Further XMM-Newton observations of GRBs discovered by the Swift satellite should help unlock the origin of the GRB phenomenon over the next few years.
https://doi.org/10.1142/9789812704030_0090
We summarize the results of our monitoring observations of the X-ray remnant of supernova (SN) 1987A with the Chandra X-Ray Observatory. As of 2002 December, we have performed a total of seven observations of SN 1987A. The images from the latest data reveal the development of X-ray-bright spots in the northwestern and the southwestern portions, as well as in the eastern side, of the remnant. The latest 0.5–2 keV band flux (LX ~ 6 × 10−13 ergs s−1 cm−2) is four times brighter than three years ago. The overall X-ray emission is primarily from the blast wave shock with kT ~ 2.4 keV. As the blast wave approaches the dense circumstellar material, the contribution from the decelerated shock (kT ~ 0.22 keV) to the observed X-ray emission is becoming significant. Based on the best-fit two-shock component model, we derive the densities of the X-ray-emitting regions (ne ~ 235 cm−3 for the fast shock and ne ~ 7500 cm−3 for the slow shock). An upper limit on the X-ray luminosity of any embedded point source is LX ≤ 1.5 × 1034 ergs s−1 in the 2−10 keV band.
https://doi.org/10.1142/9789812704030_0091
We present the results of a series of XMM-Newton observations of Her X-1, spread over a wide range of the 35 d precession period. The strong fluorescence emission line at ~6.4 keV is detected in all observations (apart from one taken in the middle of eclipse), with higher line energy, width and normalisation during the main-on state. Spin resolved spectroscopy just after the rise to the main-on state shows that the variation of the Fe Kα at 6.4 keV is correlated with the soft X-ray emission. This confirms our past finding based on the XMM-Newton observations made further into the main-on state, and indicates the common origin for the thermal component and the Fe Kα line detected at these phases. We also find that, during the low state, the normalisation of the 6.4keV line is correlated with the binary orbital phase, having a broad maximum centered near ϕorbit ~ 0.5. In addition, we detect a second line near 7 keV in 10 of the 15 observations taken during the low-intensity states of the system. The RGS spectrum taken during the low state shows a series of broad absorption lines and two radiative recombination continuum features. Taken together, these facts strengthen the interpretation of the low state emission in term of an extended source that we identify with a photoionized accretion disk atmosphere and corona.
https://doi.org/10.1142/9789812704030_0092
Recent Chandra and XMM-Newton surveys have confirmed that the cosmic X-ray background is mostly due to accretion onto super-massive black holes, integrated over cosmic time. Here we review the results obtained from the photometric and spectroscopic follow-up observations of the 122 X-ray sources detected by the HELLAS2XMM 1dF Survey down to a 2−10 keV flux of ≈ 10−14 erg cm−2 s−1. In particular, we focus on the multi-wavelength properties of a few intriguing classes of X-ray sources: high X-ray-to-optical flux ratio sources, Type 2 quasars, and XBONGs.
https://doi.org/10.1142/9789812704030_0093
Recent observations with Chandra and XMM-Newton, aided by broad-band spectral coverage from RXTE, have revealed skewed relativistic iron emission lines in stellarmass Galactic black hole systems. Such systems are excellent laboratories for testing General relativity, and relativistic iron lines provide an important tool for making such tests. In this contribution to the Proceedings of the 10th Annual Marcel Grossmann Meeting on General Relativity, we briefly review recent developments and present initial results from fits to archival ASCA observations of Galactic black holes. It stands to reason that relativistic effects, if real, should be revealed in many systems (rather than just one or two); the results of our archival work have borne-out this expectation. The ASCA spectra reveal skewed, relativistic lines in XTE J1550−564, GRO J1655−40, GRS 1915+105, and Cygnus X-1.
https://doi.org/10.1142/9789812704030_0094
We present the results of XMM-Newton and Chandra observations of two FRI radio galaxies, NGC 4261 and NGC 6251, harboring supermassive black holes of known mass. The unprecedented photon statistics of XMM-Newton combined with the high spatial resolution of Chandra allows detailed spectral, temporal, and spatial analyses of the core region. We investigate the origin of the X-ray emission from the nuclear regions of these two FRI radio galaxies and the nature of the accretion process.
https://doi.org/10.1142/9789812704030_0095
We model the spectral energy distribution of the ultrasoft broad-line AGN RE J2248-511 with Comptonised accretion disc models. These are able to reproduce the steep optical and ultrasoft X-ray slopes, and the derived black hole mass is consistent with independent mass estimates. This AGN displays properties of both broad and narrow line Seyfert 1 galaxies, but we conclude that it is intrinsically a 'normal' Seyfert 1 viewed at high inclination angle.
https://doi.org/10.1142/9789812704030_0096
I discuss the stability of accretion disks when the black hole is considered to be rotating. I show, how the fluid properties get changed for different choices of angular momentum of black holes. I treat the problem in pseudo-Newtonian approach with a suitable potential from Kerr geometry. When the angular momentum of a black hole is considered to be significant, the valid disk parameter region affects and a disk may become unstable. Also the possibility of shock in an accretion disk around rotating black holes is checked. When the black hole is chosen to be rotating, the sonic locations of the accretion disk get shifted or disappear, making the disk unstable by means of loosing entropy. To bring the disk in a stable situation, the angular momentum of the accreting matter has to be reduced/enhanced (for co/counter-rotating disk) by means of some physical process.
https://doi.org/10.1142/9789812704030_0097
During last few years, a substantial (although circumstantial) evidence for the presence of the event horizons around some black hole candidates (BHCs) was accumulated. (1)X-ray Novae containing BHCs as compact components never produce Type I bursts. The most recent extensive observations failed to find even a single burst. At the same time, X-ray Novae containing neutron stars (NSs) produce frequently Type I bursts (as expected). (2) Quiescent (between the outbursts) luminosities of the systems containing BHCs are by about two and a half orders of magnitude dimmer than the systems containing NSs. As Chandra detects more and more sources in quiescence, this conclusion becomes stronger. BHCs are "blacker" because they have no solid surfaces on which part of the accretion energy could be released. (3) Systems containing BHCs and those containing NSs occupy different regions in the X-ray color-color diagrams. The difference might be naturally attributed to the fact, that the NS sources have solid surfaces and develop boundary layers in the process of accretion. (4) The inner part of the disc in some systems (GRS 1915+105) occasionally suddenly disappears. This implies that the matter is dumped on the compact object. However, we do not see the accompanying flash which should be produced if this matter hit the solid surface.
https://doi.org/10.1142/9789812704030_0098
No abstract received.
https://doi.org/10.1142/9789812704030_0099
We report the photometric evidence of bullet like features in SS433 in X-rays, Infra-red and Radio bands through a multi-wavelength campaign.
https://doi.org/10.1142/9789812704030_0100
Microquasars, enigmatic X-ray binaries with relativistic high-energy jets, occasionally eject massive jet blobs, which are far more energetic than the continuous jet flow seen in the usual state. Because those massive jet-ejection events are rare (a few per year) and difficult to predict, they have been hardly observed with X-ray detectors. We have successfully observed a massive jet-ejection event from the microquasar SS 433 with RXTE. The source undergoing the ejection shows a variety of new phenomena including fast time variability (on time scales of 10 seconds), a QPO-like feature at 0.1 Hz, and bursting activities, none of which had been detected from this system.
https://doi.org/10.1142/9789812704030_0101
No abstract received.
https://doi.org/10.1142/9789812704030_0102
Very large baseline interferometry has revealed the existence of relativistic jets emanating from the core of several active galactic nuclei. A substantial fraction of them shows discrete features, which are moving apparently with superluminal velocities. Superluminal motions are thought being caused by a geometrical effect due to the small angle between the relativistic jet and the line of sight. In some cases, jet components are observed being ejected in distinct directions with different apparent proper motions. In this work, we select some objects that exhibit these characteristics and interpret them as due to jet precession. The parameters of precession model for such objects are constrained using their high-resolution radio maps and their optical variability. With the precession parameters and assuming that precession is induced by a secondary supermassive black hole in a non-coplanar orbit in relation to the accretion disc, we estimate some physical parameters of the binary system, such as the separation between the black holes and limits for their masses.
https://doi.org/10.1142/9789812704030_0103
We briefly review some of the basic properties of the Chandra Deep Field (CDF) X-ray sources, explore the CDF X-ray number counts for both AGN and galaxies and how they contribute to the X-ray background, and highlight a few recent results regarding the host-galaxy morphologies of the CDF AGN using HST ACS data. We also discuss how these AGN relate to the evolution and feeding of super-massive black holes in the Universe.
https://doi.org/10.1142/9789812704030_0104
Black holes have historically been thought to come in two flavors: between a few and tens of solar masses, formed in supernovae; and millions to billions of solar masses, grown in the centers of galaxies. However, several recent lines of evidence point to intermediate-mass black holes that exist in a number of dense stellar clusters. These black holes are expected to be found in binaries. As a result, three and four body interactions are common, in a realm including both Newtonian effects and general relativistic effects such as precession of the pericenter and orbital evolution due to gravitational radiation. These objects may therefore be a new source of gravitational waves with unique properties. We discuss the possibility of detecting this gravitational radiation with future instruments such as LISA and Advanced LIGO.
https://doi.org/10.1142/9789812704030_0105
We consider possibilities for obtaining information about the equation of state for quark matter by using future direct observational data on gravitational waves. We study the nonradial oscillations of the fluid modes of pure quark stars. If we observe the f modes from quark stars, by using the simultaneously obtained radiation radius we can constrain the bag constant B with reasonable accuracy, independently of the s quark mass.
https://doi.org/10.1142/9789812704030_0106
No abstract received.
https://doi.org/10.1142/9789812704030_0107
We present a new numerical scheme for solving the initial value problem for quasiequilibrium binary neutron stars allowing for arbitrary spins. We construct sequences of circular-orbit binaries of varying separation, keeping the rest mass and circulation constant along each sequence. The spin angular frequency of the stars is shown to vary along the sequence, a result that can be derived analytically in the PPN limit. This spin effect, in addition to leaving an imprint on the gravitational waveform emitted during binary inspiral, is measurable in the electromagnetic signal if one of the stars is a pulsar visible from Earth.
https://doi.org/10.1142/9789812704030_0108
We review here the classical argument used to justify the electrical neutrality of stars and show that if the pressure and density of the matter and gravitational field inside the star are large, then a charge and a strong electric field can be present. For a neutron star with high pressure (~ 1033 to 1035 dynes /cm2) and strong gravitational field (~ 1014 cm/s2), these conditions are satisfied. The hydrostatic equation which arises from general relativity, is modified considerably to meet the requirements of the inclusion of the charge. In order to see any appreciable effect on the phenomenology of the neutron stars, the charge and the electrical fields have to be huge (~ 1021 Volts/cm). These stars are not however stable from the viewpoint that each charged particle is unbound to the uncharged particles, and thus the system collapses one step further to a charged black hole.
https://doi.org/10.1142/9789812704030_0109
We derive a third post-Newtonian equation of motion for two self-gravitating point masses in a harmonic coordinate using surface integral approach and strong field point particle limit. Our equation of motion is unambiguous, Lorentz invariant (in the post-Newtonian perturbative sense), and conservative (modulo the radiation reaction effect). Namely, we determine the ambiguous parameter found by the other works.
https://doi.org/10.1142/9789812704030_0110
We describe kHz QPOs from the hydrodynamical model of accretion disks for LMXB systems. Out of the pair, the higher frequency originates due to the viscous effects of an accretion disk involving the formation of shock, while the lower one is due to the Keplerian motion of accreting matter. Comparing our results with observations for two fast rotating compact stellar candidates, namely, 4U 1636–53 and KS 1731–260, we find that they match to a very good approximation.
https://doi.org/10.1142/9789812704030_0111
Binary star systems containing stellar mass black holes and normal stars as companions have been detected in our Galaxy over the last decade. Ejecting collimated bipolar radio jets with apparent superluminal velocities, these objects have been named microquasars thanks to their similarity with the distant extragalactic quasars [1]. We here propose that the large scale superluminal ejections observed in these microquasars (e.g., GRS 1915+105 source) during radio flare events are produced by violent magnetic reconnection episodes in the corona just above the inner regions of the magnetized accretion disk (with B ≃ 107 G) that surrounds the central 10-solar mass black hole.
https://doi.org/10.1142/9789812704030_0112
We present results of several numerical simulations of two dimensional advective flows which include cooling processes. We show that the computed light curve is similar to the χ state in GRS 1915+105. The power density spectrum (PDS) also shows presence of QPOs near the break frequency.
https://doi.org/10.1142/9789812704030_0113
The effects of bulk motion comptonization on the spectral formation in a converging flow onto a black hole are discussed and new results are presented. The problem has been tackled by means of both a fully relativistic, angle-dependent trasfer code and a semi-analytical, diffusion-approximation method.
We find that a power-law high-energy tail is a ubiquitous feature in converging flows and that the two approaches produce consistent results at large enough accretion rates, when photon diffusion holds. The photon index in the tail is found to be largely independent on the spatial distribution of soft seed photons when the accretion rate is either quite low (< 5 in Eddington units) or sufficiently high (> 10). Our analysis confirms that a hard tail with photon index Γ < 3 is produced by the up-scattering of primary photons onto infalling electrons if the central object is a black hole.
https://doi.org/10.1142/9789812704030_0114
A derivation of the γγ → e+ e− optical depth for γ rays produced in a comoving spherical emitting region is presented. Employing a simplified expression for the γγ absorption cross section, analytic expressions for the minimum Doppler factor implied by the requirement of γ-ray transparency are derived for a broken power-law spectrum of target photons which are isotropically distributed in the comoving frame. Application to specific systems is illustrated.
https://doi.org/10.1142/9789812704030_0115
Accurate accounting of particle number and 4-momentum in radiative transfer may be facilitated by the use of transport equations that allow transparent conversion between volume and surface integrals in both spacetime and momentum space. Such conservative formulations of general relativistic radiative transfer in multiple spatial dimensions are presented, and their relevance to core-collapse supernova simulations described.
https://doi.org/10.1142/9789812704030_0116
We use a curvilinear coordinate system, which is natural to the dipolar magnetic field of accreting white dwarfs and solve the hydrodynamic equations governing the filed channelled accretion flow in magnetic cataclysmic variables. This take into account the effects due to curvature of the accretion stream under the gravity of the accretor. Our calculations show that the temperature and density profiles in the accretion stream are significantly different to those obtained from models assuming simple spherical or planar flows.
https://doi.org/10.1142/9789812704030_0117
We calculate the atmospheric structure of an accretion disk around a Kerr black hole and obtain its X-ray spectrum, which exhibits prominent atomic transitions under certain circumstances. The gravitational and Doppler (red)shifts of the C V, C VI, O VII, O VIII, and Fe I–XXVI emission lines are observable in active galaxies. We quantify the line emissivities as a function of radius, to identify the effects of atmospheric structure, and to determine the usefulness of these lines for probing the disk energetics. The line emissivities do not always scale linearly with the incident radiative energy, as in the case of Fe XXV and Fe XXVI. Our model incorporates photoionization and thermal balance for the plasma, the hydrostatic approximation perpendicular to the plane of the disk, and general relativistic tidal forces. We include radiative recombination rates, fluorescence yields, Compton scattering, and photoelectric opacities for the most abundant elements.
https://doi.org/10.1142/9789812704030_0118
No abstract received.
https://doi.org/10.1142/9789812704030_0119
I review the basic features of a time-dependent radiative transfer code recently developed by Perna & Lazzati (2002). The code combines self-consistently metal evolution and dust destruction under an intense X-ray UV radiation field. The evolution of dust grains is computed with the inclusion of the processes of sublimation and ion field emission (IFE). The relative importance of IFE with respect to X-ray and UV sublimation as a function of grain size, intensity and hardness of the incident spectrum is discussed. The code also follows the evolution of the ionization states of the metals and their relative radiative transitions. It treats, self-consistently, the gradual recycling of metals into gas as dust is sublimated away; it allows for any initial dust grain distribution and follows its evolution in space and time. An application of this code to Gamma-Ray Bursts is discussed, and it is shown how the time variability of the low-energy and high-energy opacities can yield powerful clues on the characteristics of the medium in which the bursts occur.
https://doi.org/10.1142/9789812704030_0120
Low angular momentum accretion flows very often have centrifugal pressure supported standing shock waves which can accelerate flow particles. The accelerated particles in turn emit synchrotron radiation in presence of magnetic fields. Efficient cooling of the electrons reduces its temperature in comparison to the protons. In this paper, we assume two temperature flows to explore this property of shocks and present an example of the emitted radiation spectrum.
https://doi.org/10.1142/9789812704030_0121
We show that with the wind/jet activity, the spectral index of hard X-ray is changed in galactic microquasars. When mass loss takes place, the spectrum becomes softer and when mass gain takes place, the spectrum becomes harder. We present examples of such changes in GRS1915+105.
https://doi.org/10.1142/9789812704030_0122
We formulate and solve the diffusion problem of line photon propagation in a bulk outflow from a compact object (black hole or neutron star) using a generic assumption regarding the distribution of line photons within the outflow. Thomson scattering of the line photons within the expanding flow leads to a decrease of their energy which is of first order in υ/c, where υ the outflow velocity and c is the speed of light. We demonstrate that the emergent line profile is closely related to the time distribution of photons diffusing through the flow (the light curve) and consists of a broad redshifted feature. We analyzed the line profiles for the general case of outflow density distribution. We emphasize that the redshifted lines are intrinsic properties of the powerful outflow that are supposed to be in many compact objects.
https://doi.org/10.1142/9789812704030_0123
No abstract received.
https://doi.org/10.1142/9789812704030_0124
A higher-dimensional gravity invariant both under local Lorentz rotations and under local anti-de Sitter boosts is constructed. It is shown that such a construction is possible both when odd dimensions and when even dimensions are considered. It is also proved that such actions have the same coefficients as those obtained by Troncoso and Zanelli [Class. Quantum Grav. 17 (2000) 4451]. Journal-Ref.: Phys. Lett. B574, 283 (2003).
https://doi.org/10.1142/9789812704030_0125
The authors generalization of general relativity on the manifold of the de Sitter group manifests in its mathematical structure the following features which are required by observational results:.
(i) A cosmological member.
(ii) The existence of inner and outer dynamical variables (as spin and orbital angular momenta).
(iii) The existence of dark energy resulting from a generalization of the gravitational law.
These features follow from the mathematical structure without that any constant (not even the gravitational constant) has to be inserted.
All vacuum solutions of general relativity with cosmological member are also solutions of the present theory but other solutions (Riemannian and with contortion) exist and give rise to the possibility of sources of the first set of field equations (which are a generalization of the equations of C.N. Yang). Such sources may be identified with spin or angular momentum fulfilling.
(iv) Machs principle. The vacuum solutions of general relativity may be excluded as unphysical because they collapse to a singularity. Einsteins equations with a geometric dark energy term form the second set of equations. The discussed features result from the structure and little attempt is made to find new solutions before the role of each part is clarified. Special cases of the theory can in ten dimensions be given a teleparallelistic form.
https://doi.org/10.1142/9789812704030_0126
It is shown that screening the background of super-strong interacting gravitons ensures the Newtonian attraction, if a part of single gravitons is pairing and graviton pairs are destructed by collisions with a body. If the considered quantum mechanism of classical gravity is realized in the nature, than an existence of black holes contradicts to the equivalence principle. In such the model, Newton's constant is proportional to H2/T4, where H is the Hubble constant, T is an equivalent temperature of the graviton background. The estimate of the Hubble constant is obtained for the Newtonian limit: H = 3.026 · 10−18 s−1 (or 94.576 km · s−1 · Mpc−1).
https://doi.org/10.1142/9789812704030_0127
No abstract received.
https://doi.org/10.1142/9789812704030_0128
Recently, it has been shown that Absolute Parallelism (AP) geometry admits paths that are naturally quantized. These paths have been used to describe the motion of spinning particles in a background gravitational field. In case of a weak static gravitational field limits, the paths are applied successfully to interpret the discrepancy in the motion of thermal neutrons in the Earth's gravitational field (COW-experiment). The aim of the present work is to explore the properties of the deviation equations corresponding to these paths. In the present work the deviation equations are derived and compared to the geodesic deviation equation of the Riemannian geometry.
https://doi.org/10.1142/9789812704030_0129
Within a Lorentz invariance violating extension of the Maxwell sector of the Standard Model, modifications of light propagation lead to changes in the resonance frequency of light in electromagnetic cavities. The effect can be tested in Michelson–Morley experiments. Due to the covariant structure of the modified Maxwell equations, the equation determining the Coulomb potential is also modified. For resonators made of ionic crystals or other solids, this changes the resonator length and leads to an additional modification of the resonance frequency. Here we consider Michelson–Morley experiments taking into account both effects. The new effects can be neglected for present experiments but may play some role in future ones.
https://doi.org/10.1142/9789812704030_0130
It is shown that if the source in General Relativity is taken to be a string, then the equation of motion may still be derived from the Bianchi identities. Although the result is wildly different to the geodesic, on a time average it reduces to the expected result.
https://doi.org/10.1142/9789812704030_0131
Recent studies of spacetime anisotropy in the context of local Lorentz invariance (LLI) based on classical Michelson–Morley experiments, as well Kennedy–Thorndyke tests, pointed out the existence of terms first order in υ/c and of angular signatures independent of υ. This contribution replaces the Lorentz symmetry by a velocity gauge transformation following an argument centred on observability. Results show even and odd order terms and indicate that motion is always underestimated in the spatiotemporal platform. Though LLI is not recovered in exact special relativistic terms, the alternative looks compatible with the relational aspects of general relativity (GR). This raises the hypothesis that Einstein equivalence principle, and consequently LLI, is a cornerstone of GR, but not necessarily a fundamental one of SR.
https://doi.org/10.1142/9789812704030_0132
We discuss the possibility to obtain, from a five-dimensional free spinor Lagrangian, the Quantum Electro-Dynamics (QED) coupling via a Kaluza-Klein reduction of the theory. This result is achieved taking a phase dependence of the spinor field on the extra-coordinate and modifying the corresponding connection. The five-dimensional spinor theory is covariant under the admissible coordinates transformations and its four-dimensional reduction provides the QED coupling term.
https://doi.org/10.1142/9789812704030_0133
We discuss the dynamics of particles moving in a five-dimensional space-time and the anomalous acceleration caused by the extra dimension in the framework of the induced-matter theory of gravity.
https://doi.org/10.1142/9789812704030_0134
A relativistic 3-brane can be given a conformally invariant, gauge-type, formulation provided the embedding space is six-dimensional. The implementation of conformal invariance requires the use of a modified measure, independent of the metric in the action. A brane-world scenario without the need of a cosmological constant in 6D can be constructed. Thus, no "old" cosmological constant problem appears at this level.
https://doi.org/10.1142/9789812704030_0135
It is shown that in d = 11 supergravity, under a very reasonable ansatz, the nearly flat spacetime in which we are living must be 4-dimensional without appealing to the Anthropic Principle.
https://doi.org/10.1142/9789812704030_0136
Analyzing the geometry of a non-Abelian Teleparallel Theory and the one of an Extended Gauge Theory and comparing one to the other, we find some similar structures that may help us to understand the gravitational model emerging from each theory.
https://doi.org/10.1142/9789812704030_0137
At high energy densities the geometry of the Universe could deviate from Riemaniann, and correct description of the Universe evolution can be given within framework of gauge theories of gravity. One of the most important cosmological implications of such theories is a possibility to avoid cosmological singularity of general relativity. From the other hand, it is a wide spread opinion that at the early Universe the scalar field could give dominant contribution to the energy density. Solutions of cosmological equations of gauge theories of gravity for the Universe filled by scalar field are discussed. Special attention is devoted to initial conditions for inflation and conditions leading to nonsingular solutions.
https://doi.org/10.1142/9789812704030_0138
Asymptotically flat gravitating systems have 10 conserved quantities, which lack proper local densities. It has been hoped that the teleparallel equivalent of Einstein's GR (TEGR, aka GR∥) could solve this gravitational energy-momentum localization problem. Meanwhile a new idea: quasilocal quantities, has come into favor. The earlier quasilocal investigations focused on energy-momentum. Recently we considered quasilocal angular momentum for the teleparallel theory and found that the popular expression (unlike our "covariant-symplectic" one) gives the correct result only in a certain frame. We now report that the center-of-mass moment, which has largely been neglected, gives an even stronger requirement. We found (independent of the frame gauge) that our "covariant symplectic" Hamiltonian-boundary-term quasilocal expression succeeds for all the quasilocal quantities, while the usual expression cannot give the desired center-of-mass moment. We also conclude, contrary to hopes, that the teleparallel formulation appears to have no advantage over GR with regard to localization.
https://doi.org/10.1142/9789812704030_0139
We explore a way to obtain the metric from an action principle that does not refer to it a priori. We study local theories that start with Schrödinger's purely affine theory, then we couple it to matter fields. We show that the propagation of shock waves does not define a lightcone and avoids the explicit use of the Ricci tensor in realizing the weak equivalence principle. When the Ricci tensor is substituted for the metric, the equations seem to have only a very limited set of solutions. This backs the conviction that viable purely affine theories have to be non–local.
https://doi.org/10.1142/9789812704030_0140
Alternatives to the usual general relativity (GR) Riemannian framework include Riemann-Cartan and teleparallel geometry. The "teleparallel equivalent of GR" (TEGR, aka GR∥) has certain virtues, however there have been allegations of serious source coupling limitations. Now it is quite straightforward to show that the coupled dynamical field equations of Einstein's GR with any source can be accurately represented in terms of any other connection, in particular teleparallel geometry. Using an argument similar to one used long ago to show the "effective equivalence" between GR and the Einstein-Cartan theory, we construct the teleparallel action which is equivalent to a given Riemanian one; thereby finding the "effectively equivalent" coupling principle for all sources, including spinors. No auxiliary field is required. Can one decide which is the real "physical" geometry? Invoking the minimal coupling principle may give a unique answer.
https://doi.org/10.1142/9789812704030_0141
By exploring the similarity of teleparallel gravity with electromagnetism, a global formulation for gravitation is developed, which is based on the gauge invariant action of a nonintegrable phase-factor. As an application, the phase shifts of both the Colella-Overhauser-Werner and the gravitational Aharonov-Bohm effects are obtained.
https://doi.org/10.1142/9789812704030_0142
In Einstein's general relativity, geometry replaces the concept of force in the description of the gravitation interaction. Such an approach rests on the universality of free-fall—the weak equivalence principle—and would break down without it. On the other hand, the teleparallel version of general relativity, a gauge theory for the translation group, describes the gravitational interaction by a force similar to the Lorentz force of electromagnetism, a non-universal interaction. It is shown that, similarly to the Maxwell's description of electromagnetism, the teleparallel gauge approach provides a consistent theory for gravitation even in the absence of the weak equivalence principle.
https://doi.org/10.1142/9789812704030_0143
In models with large extra dimensions particle collisions with centre-of-mass energy larger than the fundamental gravitational scale can generate non-perturbative gravitational objects such as black holes and branes. They might be created in the next generation particle colliders or by neutrino induced air showers in the Earth's atmosphere. The decay of these non-perturbative gravitational objects is significantly different from other standard model processes. We present a comprehensive study of how to differentiate extensive air showers generated by TeV gravity effects from those generated by standard model interactions.
https://doi.org/10.1142/9789812704030_0144
We numerically investigate the formation of black holes in high-energy particle collision with an impact parameter in D-dimensional spacetimes and evaluate the total cross section of the black hole production. We find that the formation of the apparent horizon occurs when the distance between the colliding particles is less than 1.5 times the effective gravitational radius of each particle. Our numerical result indicates that the characteristic (D − 3)-dimensional volume of the system provides a condition to approximately estimate the maximal impact parameter for the apparent horizon formation.
https://doi.org/10.1142/9789812704030_0145
The hierarchy between the electroweak and Planck scales can be reduced when the extra dimensions are compactified with large volume or with warped geometry, resulting in the fundamental scale of the order of TeV. In such a scenario, one can experimentally study the physics above the Planck scale. We discuss black hole/ring production at future colliders.
https://doi.org/10.1142/9789812704030_0146
If TeV-scale gravity is realized in nature, microscopic black holes (BHs) should be produced in atmospheric cosmic ray collisions. Their decays, largely via the Hawking process, would trigger extensive air showers that could be detected at facilities coming on line later this decade. In this talk we describe the main characteristics of these BH-mediated showers and show how earth-skimming neutrinos may act as a powerful discriminator of BH events.
https://doi.org/10.1142/9789812704030_0147
The master equation describing massless fields of different spin in the Kerr-Taub-NUT spacetime representing a source with a mass plus gravitomagnetic monopole and dipole moments is studied. This equation can be separated into its radial and angular parts. The behaviour of the radial functions at infinity and near the horizon can be used to examine the influence of the NUT parameter on the phenomenon of superradiance. Moreover, we discuss the coupling between the spin of the perturbing field and the gravitomagnetic monopole moment.
https://doi.org/10.1142/9789812704030_0148
We discuss the relation between bulk de Sitter three-dimensional spacetime and the corresponding conformal field theory at the boundary, in the framework of the exact quasinormal mode spectrum. We show that the quasinormal mode spectrum corresponds exactly to the spectrum of thermal excitations of Conformal Field Theory at the past boundary I−, together with the spectrum of a Conformal Field Theory at the future boundary I+.
https://doi.org/10.1142/9789812704030_0149
The properties of principal null directions of a perturbed black hole are investigated. It is shown that principal null directions are directly observable quantities characterizing the space-time. A definition of a perturbed space-time, generalizing that given by Stewart and Walker is proposed. This more general framework allows one to include descriptions of a given space-time other than by a pair (M, g) where M is a four-dimensional differential manifold and g a Lorentz metric. Examples of alternative characterizations are the curvature representation of Karlhede and others, the Newman-Penrose representation or observable quantities involving principal null directions. The conditions are studied under which the various alternative choices of observables provide equivalent descriptions of the space-time.
https://doi.org/10.1142/9789812704030_0150
The phenomenon of slow light (electromagnetically induced transparency), which would seem an ideal candidate for constructing a black hole analogue, cannot be used to simulate Hawking radiation. Even though an appropriately designed slow-light set-up may model classical features of black holes – such as horizon, mode mixing, “Bogoliubov” coefficients, etc. – it does not reproduce the related quantum effects.
https://doi.org/10.1142/9789812704030_0151
No abstract received.
https://doi.org/10.1142/9789812704030_0152
No abstract received.
https://doi.org/10.1142/9789812704030_0153
The surface gravity for the extreme Reissner–Nordström black hole is zero suggesting that it has a zero temperature. However, the direct evaluation of the Bogolubov's coefficients, using the standard semi-classical analysis, indicates that the temperature of the extreme black hole is ill definite: the Bogolubov's coefficients obtained by performing the usual analysis of a collapsing model of a thin shell, and employing the geometrical optical approximation, do not obey the normalization conditions. We argue that the failure of the employement of semi-classical analysis for the extreme black hole is due to the absence of orthonormal quantum modes in the vicinity of the event horizon in this particular case.
https://doi.org/10.1142/9789812704030_0154
From the Entanglement Thermodynamics, in the context of the Thermofield Dynamics, the Unruh Effect in curved spacetime is examined.
https://doi.org/10.1142/9789812704030_0155
The conservation of energy implies that an isolated radiating black hole cannot have an emission spectrum that is precisely thermal.
Moreover, the no-hair theorem is only approximately applicable. We consider the implications for the black hole information puzzle.
https://doi.org/10.1142/9789812704030_0156
We present a new method of recovering the power spectrum of initial perturbations to an unprecedently small scale of ~ 10h−1 kpc. We apply this method to a sample of 4500 Ly-α absorbers and recover the cold dark matter (CDM) like power spectrum at scales ≥ 300h−1kpc with a precision of ~ 10%. However at scales ~ 10 − 300h−1kpc the measured and ΛCDM-like spectra are noticeably different.
https://doi.org/10.1142/9789812704030_0157
Archeops is a balloon borne CMB experiment.1 It was built by an international collaboration, led by A. Benoit (CRTBT, CNRS, Grenoble, France), with several groups from France, Italy, the UK, USA and Russia. Its goals were twofold. On the physics point of view, it was aimed at the measurement of large scale (ℓ ~ 20 − 200) CMB temperature anisotropies in a region were the pre-WMAP data exhibited a gap. The study of the polarisation of the galactic emission was another important target, since it may constitute an important foreground for the measurement of the CMB polarisation anisotropies precision measurements that are being planned. In parallel with these physics objectives, Archeops was also set up as a test bench for concepts and detectors for the Planck HFI instrument. In this proceeding, I give a brief summary of the CMB power spectrum analysis and of the galactic emission polarisation measurement by Archeops.
https://doi.org/10.1142/9789812704030_0158
It has been argued that by removing a pressure gradient term in the continuity equation, it is possible to obtain, with a semiclassical formulation, the same expression for the density contrast growing mode, as obtained in a full relativistic treatment. In this context, we reinvestigate the evolution of perturbations in an expanding Newtonian universe with pressure, but we consider a general scenario in which the equation of state parameter is time dependent and the perturbations are not necessarily adiabatic. We verify that, in this case, the suggested modification of the continuity equation do not provide equivalence between the relativistic and Newtonian descriptions.
https://doi.org/10.1142/9789812704030_0159
The present speculation shows that a standard FRW world-model with positive curvature is both suggested by observations and by theoretical arguments. With this characteristic in mind, it turns out that the Horizon and Flatness problems have straightforward issues.
https://doi.org/10.1142/9789812704030_0160
We present preliminar results and tests of a new general relativistic code to simulate the hydrodynamic collapse of a 21 solar masses star. We have assumed spherical symmetry and used the formalism of Misner and Sharp to construct a finite-difference scheme to solve the Einstein’s equations, energy-momentum conservation equations and baryonic conservation equation. The code is similar to the one originally developed by May and White (1967). Here we discuss the capabilities of the code that make it well suited for numerical relativity on a personal computer and some caveats based on the experiments we have made with it.
https://doi.org/10.1142/9789812704030_0161
In order to further our understanding of the instabilities which develop in numerical relativity codes, I study vacuum solutions of the cosmological type (T3 topology). This involves testing the numerical code using the following non-trivial periodic solutions; Kasner, Gowdy, Bondi and non-linear gauge waves. I look for constraint violating and gauge mode instabilities and study numerical convergence. I will discuss techniques developed to investigate the stability properties of the numerical code.
https://doi.org/10.1142/9789812704030_0162
The conformal approach to the description of isolated systems in General Relativity based on the notion of asymptotic simplicity usually assumes that the conformal boundary —null infinity— is a smooth submanifold. Some work on the so-called polyhomogeneous spacetimes has shown that much of the standard formalism holds on much weaker assumptions on the smoothness of null infinity. Furthermore, some recent work has shown that developments of Misner and Brill-Lindquist data have a non-smooth boundary. The latter raises the questions regarding the suitability of smooth null infinity to model “realistic” systems as different assumptions of the smoothness of the conformal boundary would yield slightly different physical predictions. This is an issue that is not only of relevance not for numerical simulations based on the conformal approach but in general for any code simulating asymptotically flat systems as some sort of asymptotic behaviour must at any rate be prescribed in order to model the “isolatedness” of the system. This prescribed asymptotic behaviour will contain implicit and explicit assumptions regarding the smoothness of null infinity. The relation between hyperboloidal initial data and Cauchy initial data is discussed within this context.
https://doi.org/10.1142/9789812704030_0163
We investigate the gravitational collapse of rapidly rotating relativistic supermassive stars by means of a 3+1 hydrodynamical simulations in conformally flat spacetime of general relativity. We study the evolution of differentially rotating supermassive stars of q ≡ J/M2 ~ 1 (J is the angular momentum and M is the gravitational mass of the star) from R/M ~ 65 (R is the circumferential radius of the star) to the point where the conformally flat approximation breaks down. We find that the collapse of the star of q ≳ 1, a radially unstable differentially rotating star form a black hole of q ≲ 1. The main reason to prevent the formation of a black hole of q ≳ 1 is that quite a large amount of the angular momentum stays at the surface. We also find that the collapse is coherent and that it likely leads to the formation of a supermassive black hole with no appreciable disk nor bar. In the absence of nonaxisymmetric deformation, the collapse of differentially rotating supermassive stars are the promising sources of burst and quasinormal ringing waves in the Laser Interferometer Space Antenna.
https://doi.org/10.1142/9789812704030_0164
A new visualization technique for visualizing three-dimensional symmetric positive definite tensor fields of rank two is described. It supports studying the spatial projection of a spacetime metric. The rendering technique is demonstrated upon the Schwarzschild metric of a static black hole, the Kerr metric of a rotating black hole in two different coordinate systems, and a numerically computed dataset describing the metric of two colliding black holes.
https://doi.org/10.1142/9789812704030_0165
In the self–lensing framework, we estimate the modal values of the mass of the gravitational lenses found by the MACHO collaboration towards the Large Magellanic Cloud (LMC). Our results suggest that only the events located near the center can be identified as a low mass star population belonging to the LMC disk or bar components.
https://doi.org/10.1142/9789812704030_0166
A strong differential magnification over the face of the source star passing the caustic created by a binary lens star allows to measure its radial intensity profile with an angular resolution of 20–60 nas from broad-band photometric observations for ~ 15 stars per year and to study its chemical composition from time-resolved high-resolution spectroscopy for ~ 2 stars per year.
https://doi.org/10.1142/9789812704030_0167
With its planet detection efficiency reaching a maximum for orbital radii between 1 and 10 AU, microlensing provides a unique sensitivity to planetary systems similar to our own around galactic and even extragalactic stars acting as lenses on observed background stars, and in particular can detect terrestrial planets in the habitable zone. The absence of planetary signals in the 1995–1999 PLANET data implies that less than 1/3 of galactic M-dwarfs harbour jupiters at orbital radii between 1.5 and 4 AU. If a fraction fp of stars is surrounded by a planet, annual detections of 15–25 fp jupiters and 2–3 fp earths around galactic stars would result from PLANET, a space-based campaign would yield 1200 fp jupiters and 30 fp earths, and a northern microlensing network could detect 15–35 fp jupiters and 4–10 fp saturns around M31 stars.
https://doi.org/10.1142/9789812704030_0168
Gravitational lensing by spinning deflectors is discussed in the weak field regime. The gravito-magnetic effect is derived following Fermat’s principle and the standard framework of gravitational lensing. I examine how the gravito-magnetic field affects image positions, caustics and critical curves.
https://doi.org/10.1142/9789812704030_0169
We introduce an analytical approximation to study black hole gravitational lensing in the strong field limit. It turns out that the deflection angle follows a universal formula for all types of spherically symmetric black holes. Different metrics can be distinguished by the reconstruction of the coefficients appearing in this formula. In spinning black holes the phenomenology is different because of caustic dragging and stretching to extended diamond-shapes. The time delay measurement would provide a very precise distance estimate of the lens.
https://doi.org/10.1142/9789812704030_0170
Constraints on the variations of fundamental constants will be reviewed. These come from Big Bang Nucleosynthesis, the Oklo reactor, and radioactive decay.
https://doi.org/10.1142/9789812704030_0171
Quasar absorption lines can be used to map out the structure of the Universe up to at least redshift 6. The Lyman-alpha forest due to neutral hydrogen in the intergalactic medium is particularly useful as a tracer, being simply related to the distribution of the dark matter in current theories. I outline how this probe of structure can be used to measure the clustering of matter, and constrain cosmology. I also show how fluctuations in the large scale photoionizing radiation field can leave an imprint, and how structure in the intergalactic medium is related to that of galaxies. With the advent of huge new datasets such as that from the Sloan Digital Sky Survey (which contains over 100 times more quasar spectra than prior surveys), there are many opportunities for precision cosmological tests using quasar absorption lines. In particular, these data allow us to examine the radiation field close to quasars themselves. The finite light travel time allows us put stringent limits on the quasar episodic lifetime tq < 2 × 106 y.
https://doi.org/10.1142/9789812704030_0172
No abstract received.
https://doi.org/10.1142/9789812704030_0173
An important open problem in Cosmology is the search for global properties of the Universe. One of such properties that is currently being searched is the multiply-connectedness which shall manifest, case our Universe had this property and the horizon (RH) be larger than the minimum closed geodesic, with the presence in the sky of multiple images of a given cosmic object.
https://doi.org/10.1142/9789812704030_0174
No abstract received.
https://doi.org/10.1142/9789812704030_0175
The Casimir effect in compact hyperbolic Universes was numerically obtained in previous publications. In this talk, I expose these results.
https://doi.org/10.1142/9789812704030_0176
No abstract received.
https://doi.org/10.1142/9789812704030_0177
We consider a six dimensional singular spacetime. Using the Israel conditions we derive the motion of a 4-brane embedded in this setup and solve the full non-linear dynamics in the several possible scenarios. We also investigate the possible gravitational shortcuts.
https://doi.org/10.1142/9789812704030_0178
The brane-worlds model was inspired partly by Kaluza-Klein’s theory, where the gravitation and the gauge fields are obtained of a geometry of higher dimension (bulk). Such a model has been showing positive in the sense of we find perspectives and probably deep modifications in the physics, such as: Unification in a scale TeV, quantum gravity in this scale and deviation of Newton’s law for small distances. One of the principles of this model is to suppose a space-time embedded in a bulk of high dimension. In this note it is shown, basing on the theorem of Collinson-Szekeres, that the space-time of Schwarzschild cannot be embedded locally and isometrically in a bulk of five dimensions with constant curvature,(for example ADS-5). From the point of view of the semi-Riemannian geometry this last result consists constraints to the model brane-world.
https://doi.org/10.1142/9789812704030_0179
No abstract received.
https://doi.org/10.1142/9789812704030_0180
In the currently popular Randall-Sundrum model, the universe is described as a three-space (3-brane) embedded in a five-dimensional anti-de Sitter spacetime with a large (infinite) extra dimension. This concept is motivated by the D-brane solution found in ten-dimensional superstring theory and eleven dimensional M-theory/supergravity. This talk summarizes some possible observational consequences of such brane-world cosmology. For example, a new “dark radiation” term arises in the cosmic evolution equations which can affect the radiation dominated epoch. Moreover, matter may literally disappear into (or reemerge from) the extra dimension. This suggests a new interpretations for dark matter, dark energy and their evolution. Constraints on these possibilities arise from observations of high redshift supernovae, galaxy-clusters, X-ray gas in galactic clusters, and the cosmic microwave background. So far, all of the available constraints are consistent with (and may even slightly favor) this cosmology.
https://doi.org/10.1142/9789812704030_0181
The compatibility between the embedding and the brane-world dynamics is investigated. In the particular case of a five dimensional bulk, the complete field equations are derived from the embedding without use of junction conditions. The stability of flat bulks is also discussed under the light of the experimental constraints imposed by the binary pulsar PSR1913+16.
https://doi.org/10.1142/9789812704030_0182
The most remarkable and interesting feature of brane world scenario is the use of bulk’s curvature to localize gravity on the brane, albeit with fine tuning of the brane and bulk parameters. For FRW expanding universe on the brane, it is a moving hypersurface in Schwarzschild anti de Sitter (S-AdS) bulk spacetime. We show that zero mass gravitons have bound state on the brane for suitable values of brane and bulk parameters. There occur various cases giving rise to different cosmological models, however branes with negative cosmological constant can not harbor localization.
https://doi.org/10.1142/9789812704030_0183
We show that the fine-tuning among the independent parameters that leads to gravity confinement on a vortex-brane originating from an Abelian Higgs model is much tighter than previously thought.
https://doi.org/10.1142/9789812704030_0184
We present the effective equations to describe the four-dimensional gravity of a brane world, assuming that a five-dimensional bulk spacetime satisfies the Einstein equations and gravity is confined on the Z2 symmetric brane. Applying this formalism, we study the induced-gravity brane model first proposed by Dvali, Gabadadze and Porrati. In a generalization of their model, we show that an effective cosmological constant on the brane can be extremely reduced in contrast to the case of the Randall-Sundrum model even if a bulk cosmological constant and a brane tension are not fine-tuned. The detailed analysis can be seen in Refs. [1] and [3].
https://doi.org/10.1142/9789812704030_0185
We consider multidimensional gravitational models with a nonlinear scalar curvature term and form fields. It is assumed that the higher dimensional spacetime undergoes a spontaneous compactification to a warped product manifold. Particular attention is paid to models with quadratic scalar curvature terms and a Freund-Rubin-like ansatz for solitonic form fields. It is shown that for certain parameter ranges the extra dimensions are stabilized for any sign of the internal space curvature, the bulk cosmological constant and of the effective four-dimensional cosmological constant. Moreover, the effective cosmological constant can satisfy the observable limit on the dark energy density.
https://doi.org/10.1142/9789812704030_0186
No abstract received.
https://doi.org/10.1142/9789812704030_0187
We study some bouncing universe models dominated by a specific class of hydrodynamical fluids, and show that the cosmological perturbations propagate smoothly through a general relativistic bounce. We also find that the purely adiabatic modes exhibit a divergence that is compensated in the total Bardeen potential by inclusion of the entropy perturbations, which can never be neglected.
https://doi.org/10.1142/9789812704030_0188
We compare the standard single scalar field inflationary predictions with those of an inflationary phase driven by a tachyon field. A slow-roll formalism is defined for tachyon inflation and we derive the spectra of scalar and tensor perturbations as well as the consistency relations. At lowest order the predictions of standard and tachyon inflation are the same. Higher order deviations are present and their observational relevance is discussed. We discuss the observational consequences of some typical inflationary tachyon potentials and compare them with recent data. All the models predict a negative and very small running of the scalar spectral index, and they consistently lie within the 1σ contour of the data set. However, the regime of blue scalar spectral index and large gravity waves is not explored by these models.
https://doi.org/10.1142/9789812704030_0189
Using the simplest model for a bouncing universe, namely that for which gravity is described by pure general relativity, the spatial sections are positively curved and the matter content is a single scalar field, we obtain the transition matrix relating cosmological perturbation modes between the contracting and expanding phases. We show that this case provides a specific example in which this relation explicitely depends on the perturbation scale whenever the null energy condition (NEC) is close to be violated.
https://doi.org/10.1142/9789812704030_0190
We shows that a cosmic fluid with an anisotropic pressure which depends non linearly on the expansion parameter can undergo an isotropisation process within a Bianchi I model. The shear of candidate behaviors passes through a maximum and hence it vanishes asymptotically.
https://doi.org/10.1142/9789812704030_0191
We introduce the concepts of adiabatic (curvature) and isocurvature (entropy) cosmological perturbations and present their relevance for parameter estimation from cosmic microwave background anisotropies data. We emphasize that, while present-day data are in excellent agreement with pure adiabaticity, subdominant isocurvature contributions cannot be ruled out. We discuss model independent constraints on the isocurvature contribution. Finally, we argue that the Planck satellite will be able to do precision cosmology even if the assumption of adiabaticity is relaxed.
https://doi.org/10.1142/9789812704030_0192
In curvaton models the convertion of isocurvature perturbations into adiabatic ones takes place through the decay of an auxiliary massive scalar field. In the Pre-Big Bang scenario, the role of the curvaton can be naturally played by the Kalb-Ramond axion present in the low energy effective action of superstring theory. A complete analysis of the coupled equations of axion and metric perturbations shows that a scale-invariant adiabatic spectrum for scalar perturbations can be obtained in this context. Recent observations of CMB anisotropies are used to constrain the parameter space of the model.
https://doi.org/10.1142/9789812704030_0193
We study generalisations of the Einstein–Straus model in cylindrically symmetric settings by considering the matching of a static space-time to a non-static spatially homogeneous space-time, preserving the symmetry. We find that such models possess severe restrictions, such as constancy of one of the metric coefficients in the non-static part. A consequence of this is that it is impossible to embed static locally cylindrically symmetric objects in reasonable spatially homogeneous cosmologies.
https://doi.org/10.1142/9789812704030_0194
In the framework of a flat FLRW model we derive an inflationary regime in which the scalar field, laying on the plateau of its potential, admits a linear time dependence and remains close to a constant value.
The behaviour of inhomogeneous perturbations is determined on the background metric in agreement to the “slow-rolling” approximation. We show that the inhomogeneous scales which before inflation were not much greater then the physical horizon, conserve their spectrum (almost) unaltered after the de Sitter phase.
https://doi.org/10.1142/9789812704030_0195
Increasing inhomogeneity due to gravitational clumping reflects increasing gravitational entropy in a time-evolving universe. Upon introducing a dimensionless entropy measure for a discrete matter distribution we demonstrate from naturally involved extremal conditions how clustering of structure is subject to a global quantization rule, constraining the entropy gain within the entire system at each higher order merging process. As consequence, a sequence of discrete cosmic mass scales is generated where the holographic principle provides the corresponding spatial dimensions of closed structures. The derived hierarchy of inhomogeneity levels, is tested on observations and is found to reproduce remarkably well the sequence of known global cosmological inhomogeneity scales up to galaxy clusters and superclusters. All fundamental structure scales are generically coupled via recurrence relations where an arrow of time can be defined that points in the direction of increasing entropy or inhomogeneity, respectively.
https://doi.org/10.1142/9789812704030_0196
In this work we present a random Monte Carlo approach for the reconstruction of the inflationary dynamics.
https://doi.org/10.1142/9789812704030_0197
In this talk the possibility of constructing geodesically complete inhomogeneous stiff fluid cosmologies is discussed. A family with infinite parameters is derived. A wide and easy to implement sufficient condition for geodesic completeness is shown.
https://doi.org/10.1142/9789812704030_0198
We give a brief discussion of minimal embeddings of the space-time in the context of the Campbell-Magaard theorem. We state the result that it is possible to minimally embed a n-dimensional semi-Riemannian manifold in a (n+1)-dimensional semi-Riemannian Ricci-flat space. This result can be extended to the case when the embedding manifold is an Einstein space.
https://doi.org/10.1142/9789812704030_0199
A field theory is proposed where the regular fermionic matter and the dark fermionic matter are different states of the same “primordial” fermion fields. In regime of the fermion densities typical for normal particle physics, the primordial fermions split into three families identified with regular fermions. When fermion energy density becomes comparable with dark energy density, the theory allows new type of states. The possibility of such Cosmo-Low Energy Physics (CLEP) states is demonstrated by means of solutions of the field theory equations describing FRW universe filled by homogeneous scalar field and uniformly distributed nonrelativistic neutrinos. Neutrinos in CLEP state are drawn into cosmological expansion by means of dynamically changing their own parameters. One of the features of the fermions in CLEP state is that in the late time universe their masses increase as a3/2 (a = a(t) is the scale factor). The energy density of the cold dark matter consisting of neutrinos in CLEP state scales as a sort of dark energy; this cold dark matter possesses negative pressure and for the late time universe its equation of state approaches that of the cosmological constant. The total energy density of such universe is less than it would be in the universe free of fermionic matter at all. The (quintessence) scalar field is coupled to dark matter but its coupling to regular fermionic matter appears to be extremely strongly suppressed.
https://doi.org/10.1142/9789812704030_0200
The mystery of the Dark energy is not just its smallness. The extreme fine tuning of its density in the Early Universe such that it permits galaxy formation before creating a new inflationary epoch is its other unexplained aspect. Here we propose a model based on the very slow decay of a Super Heavy Dark Matter (SDM), presumed candidate for the origin of the Ultra High Energy Cosmic Rays (UHECRs). A small part of the remnants energy is in the form of a scalar field which decoheres and behaves like a quintessence field. This model does not need a special form for the potential and a simple ϕ4 theory or an axion like scalar is enough. The equation of state of the Dark Energy becomes very close to a cosmological constant and is very well consistent with observations.
https://doi.org/10.1142/9789812704030_0201
The generalized Chaplygin gas (GCG) model explains the recent accelerated expansion of the Universe via an exotic background fluid whose equation of state is given by p = −A/ρα, where A is a positive constant and 0 < α ≤ 1. We derive constraints on the parameter space of the model from bounds on the location of the first few peaks and troughs of the the Cosmic Microwave Background Radiation (CMBR) power spectrum arising from recent WMAP and BOOMERanG data.
https://doi.org/10.1142/9789812704030_0202
We derive the constraints set by several experiments on the Chaplygin quartessence model. In this scenario, a single fluid component drives the Universe from a non-relativistic matter dominated phase to an accelerated expansion phase behaving, first, like dark matter and in a more recent epoch as dark energy. We consider current data from SNIa experiments, statistics of gravitational lensing, FR IIb radio galaxies and X-ray gas mass fraction in galaxy clusters. We obtain the confidence region on the two parameters of the model from a combined analysis of all the above tests. We find that the best fit occurs close to the ΛCDM limit (α = 0). The standard Chaplygin quartessence (α = 1) is also allowed by the data, but only at ~ 2σ level.
https://doi.org/10.1142/9789812704030_0203
We investigate the influence of the local non homogeneous distribution of matter on the observed luminosities of supernovae. We show that the publicly available data on type la supernovae can be fitted by the magnitude-redshift relation without the cosmological constant or dark energy if one takes into account this influence on propagation of light in the Friedman-Robertson-Walker cosmological models.
https://doi.org/10.1142/9789812704030_0204
No abstract received.
https://doi.org/10.1142/9789812704030_0205
We use the results from the Wilkinson Microwave Anisotropy Probe (WMAP) for the locations of peaks and troughs of the Cosmic Microwave Background (CMB) power spectrum, together with constraints from large-scale structure, to study a quintessence model in which the pure exponential potential is modified by a polynomial factor. Our analysis, in the (Ωm, h, ns) cosmological parameters space shows that this quintessence model is favoured compared to ΛCDM for ns ≈ 1 and relatively high values of early quintessence; for ns < 1, quintessence and ΛCDM give similar results, except for high values of early quintessence, in which case ΛCDM is favoured.
https://doi.org/10.1142/9789812704030_0206
de Sitter and anti-de Sitter physics play an increasingly important role in contemporary science. We present a method to deal with de Sitter and anti-de Sitter quantum fields and several applications.
https://doi.org/10.1142/9789812704030_0207
We investigate the role of a possible coupling of dark matter and dark energy. In particular, we explore the consequences of such an interaction for the coincidence problem, i.e., for the question, why the energy densities of dark matter and dark energy are of the same order just at the present epoch. We demonstrate, that, with the help of a suitable coupling, it is possible to reproduce any scaling solution ρX ∝ ρMaξ, where a is the scale factor of the Robertson-Walker metric and ξ is a constant parameter. ρX and ρM are the densities of dark energy and dark matter, respectively. Furthermore, we show that an interaction between dark matter and dark energy can drive the transition from an early matter dominated era to a phase of accelerated expansion with a stable, stationary ratio of the energy densities of both components.
https://doi.org/10.1142/9789812704030_0208
The Newtonian condition for the equilibrium of a star endowed with a uniform magnetic field is studied as an initial datum for a magnetic field coupled to a Schwarzschild black hole. Such a magnetic field is equivalent to an “effective” field in a flat space-time according to a distant observer. The effective field is studied and it’s found that it reaches a maximum value and then it vanishes at the event horizon of the star. Assuming as initial condition the maximum value of the magnetic field of a self-gravitating system established the maximum magnetic field, coupled to a body of mass M, as measured by a distant observer is estimated.
https://doi.org/10.1142/9789812704030_0209
Relativistic induced compression of compact objects as they accelerate with respect to a background metric has been confirmed in exact axisymmetric relativity. We review the physics which induces this effect. We present results for a new paradigm involving a carbon-oxygen white dwarf as it passes or orbits near a black hole. In this case relativistic compression can cause the central density to exceed the threshold for pycnonuclear reactions. A thermonuclear runaway ensues similar to that of a type Ia supernova, but the event is more energetic and deposits a lot of energy in and around the black hole. Simulations and estimated event rates are made for white dwarfs orbiting a low-mass black hole, white dwarfs encountering a massive black hole in a dense globular cluster, and white dwarfs passing a supermassive black hole in a dense galactic core. These suggest that events involving a supermassive black hole in a dense cluster are probably the most frequent. Some observable signatures are proposed.
https://doi.org/10.1142/9789812704030_0210
We describe electron-positron pairs creation around an electrically charged star core collapsing to an electromagnetic black hole (EMBH), as well as pairs annihilation into photons. We use the kinetic Vlasov equation formalism for the pairs and photons and show that a regime of plasma oscillations is established around the core. As a byproduct of our analysis we can provide an estimate for the thermalization time scale.
https://doi.org/10.1142/9789812704030_0211
We discuss the evolution of the plasma around a collapsing star core endowed with a net electric charge described by the Reissner-Norstrorn geometry. The star is assumed to reach values of the electric field larger than the Heisenberg-Euler-Schwinger critical value for pair production. We consider the dynamical formation of the Dyadosphere. We show that the plasma near the event horizon falls into the black hole, while the outer plasma expands reaching ultrarelativistic velocities.
https://doi.org/10.1142/9789812704030_0212
We present a model for the inner engine of gamma ray bursts (GRBs) based on the transition of hadronic matter to deconfined quark matter Inside magnetized neutron stars (NSs).
https://doi.org/10.1142/9789812704030_0213
We will briefly review the definition and classification of classical and quantum singularities in general relativity. Examples of classically singular spacetimes that do not have quantum singularities will be given. We will present results on quantum singularities in quasiregular spacetimes. We will also show that a strong repulsive ”potential” near the classical singularity can turn a classically singular spacetime into a quantum mechanically nonsingular spacetime.
https://doi.org/10.1142/9789812704030_0214
We obtain a new self-similar solution to the Einstein’s equations in four-dimensions, representing the collapse of a spherically symmetric, minimally coupled, massless, scalar field. Depending on the value of certain parameters, this solution represents the formation of naked singularities and black holes. The black holes are identified as the Schwarzschild ones.
https://doi.org/10.1142/9789812704030_0215
No abstract received.
https://doi.org/10.1142/9789812704030_0216
Expansions of the gravitational field arising from the development of asymptotically Euclidean, time symmetric, conformally flat initial data are calculated in a neighbourhood of spatial and null infinities up to order 6. To this ends a certain representation of spatial infinity as a cylinder is used. This set up is based on the properties of conformal geodesics. It is found that these expansions suggest that null infinity has to be non-smooth unless the Newman-Penrose constants of the spacetime, and some other higher order quantities of the spacetime vanish. As a consequence of these results it is conjectured that similar conditions occur if one were to take the expansions to even higher orders. Furthermore, the smoothness conditions obtained suggest that if a time symmetric initial data which is conformally flat in a neighbourhood of spatial infinity yields a smooth null infinity, then the initial data must in fact be Schwarzschildean around spatial infinity.
https://doi.org/10.1142/9789812704030_0217
We consider the end state of collapsing null radiation with a string fluid. It is shown that, if diffusive transport is assumed for the string, that a naked singularity can form (at least locally). The model has the advantage of not being asymptotically flat. We also analyse the case of a Ricci flat radiation-string two-fluid and show that a locally naked singularity can result in the collapse of such matter.
https://doi.org/10.1142/9789812704030_0218
We show global existence theorems for Gowdy symmetric spacetimes with type IIB stringy matter in the areal and constant mean curvature time coordinates. Also, it is shown that a wave map describes evolution of this system.
https://doi.org/10.1142/9789812704030_0219
Photon trajectories in models of the Universe that have constant negative spatial curvature are exponentially unstable. We demonstrate that they can be stabilized by additional random fluctuations in the curvature. The mechanism is analogous to the one responsible for stabilizing the stochastic Kapitsa pendulum. We discuss the consequences for the cosmic microwave background fluctuations.
https://doi.org/10.1142/9789812704030_0220
The chaoticity of the Mixmaster is discussed in the framework of Statistical Mechanics by using Misner–Chitre-like variables and an ADM reduction of its dynamics.
We show that such a system is well described by a microcanonical ensemble whose invariant measure is induced by the corresponding Liouville one and is uniform. The covariance with respect to the choice of the temporal gauge of the obtained invariant measure is outlined.
https://doi.org/10.1142/9789812704030_0221
The dynamics of the Mixmaster Universe is analized in a covariant picture via Misner–Chitre-like variables for an ADM Hamiltonian approach. The system outcomes as isomorphic to a billiard on the Lobachevsky plane and Lyapunov exponents are calculated explicitly.
https://doi.org/10.1142/9789812704030_0222
We discuss universal statistical patterns in the chaotic dynamics of closed inflationary cosmologies, associated with the presence of a saddle-center critical point in the phase space of the models. In the regime of high nonintegrability, the distribution is universal in the sense that it is scale invariant, independent of the parameters of the model and independent of the particular system where the saddle-center is present. The consequences for the physics of the early stages of inflation are discussed.
https://doi.org/10.1142/9789812704030_0223
The behavior of the entangled photons undergoing Thomson scattering is considered, motivated with the properties of the last scattering surface and of Cosmic Microwave Background radiation. The CMB polarization maps have to contain information on such entangled states.
https://doi.org/10.1142/9789812704030_0224
We study the nonlinear decay of the inflaton field with quartic potential, , using the Galerkin projection method that provides a natural mode decomposition of the field in close analogy to a QFT treatment. Basically, we have shown that three distinct phases are definitely characterized according to the role of the nonlinear couplings in the dynamics, starting from the linear regime of parametric resonance towards a final turbulent phase dominated by the nonlinear effects and connected to the chaotic behavior of all modes, when the state of thermalization is accomplished.
https://doi.org/10.1142/9789812704030_0225
The nonlinear resonance of KAM tori in the phase space of Inflationary Cosmologies with a massive scalar field is examined with a potential term derived from quantum cosmology. For certain domains of the parameter space (the scalar field mass and the conserved Hamiltonian) nonlinear resonance phenomena may induce the destruction of KAM tori. This leads to a rapid growth of the scale factor and the scalar field, with a consequent escape into inflation. A semi-analytical approach to these phenomena is made and possible consequences to structure formation discussed.
https://doi.org/10.1142/9789812704030_0226
We study the consequences of noise and dissipation for parametric resonance during preheating. The effective equations of motion for the inflaton and the radiation field are obtained and shown to present self-consistent noise and dissipation terms. The equations exhibit the usual parametric resonance phenomenon, allowing for exponential amplification of the radiation modes inside the instability bands. By focusing on the dimension of the border of those bands we explicitly show that they are fractal, indicating the strong dependence of the outcome in the initial conditions. The simultaneous effect of noise and dissipation to the fractality of the borders are then examined.
https://doi.org/10.1142/9789812704030_0227
In this work we study the existence of mechanisms of the transition to global chaos in a closed Friedmann-Robertson-Walker universe with a massive conformally coupled scalar field. We propose a complexification of the radius of the universe so that the global dynamics can be understood. We show numerically the existence of heteroclinic connections of the unstable and stable manifolds to periodic orbits associated with the saddle-center equilibrium points. We find two bifurcations which are crucial in creating non-collapsing universes both in the real version and in the imaginary extension of the models. The techniques presented here can be employed in any cosmological model.
https://doi.org/10.1142/9789812704030_0228
Studying Yang-Mills field in Bianchi spacetime, we find that Yang-Mills field shows chaotic behaviors in the Einstein-Yang-Mills (EYM) system. We also analyze a multiplicative effect by two types of chaos, that is, chaos found with Yang-Mills field and that found in Bianchi IX spacetime. Although we find that chaotic behavior of Yang-Mills field in such a system, two types do not coexist, resulting that no enhancement is obtained.
https://doi.org/10.1142/9789812704030_0229
Electrovacuum static axisymmetric relativistic thin disks with nonzero radial pressure and finite radius are studied based on Zipoy-Voorhees-like and Kerr-like solutions of the Einstein-Maxwell equations. The disks have a central region well behaved which satisfies the weak and strong energy conditions and a border region where the energy density is negative, in violation of the weak energy condition.
https://doi.org/10.1142/9789812704030_0230
The asymmetry in the time delay for light rays propagating on opposite sides of a spinning body is analyzed. A frequency shift in the perceived signals is found. A practical procedure is proposed for evidencing the asymmetry, allowing for a measurement of the specific angular momentum of the rotating mass. Orders of magnitude are considered and discussed.
https://doi.org/10.1142/9789812704030_0231
The relativistic definion of “inertial forces” is briefly reviewed.
https://doi.org/10.1142/9789812704030_0232
We present an action principle formulation for the study of motion of an extended body in General Relativity in the limit of weak gravitational field. This gives the classical equations of motion for multipole moments of arbitrary order coupling to the gravitational field. In particular, a new force due to the octupole moment is obtained. The action also yields the gravitationally induced phase shifts in quantum interference experiments due to the coupling of all multipole moments.
https://doi.org/10.1142/9789812704030_0233
Examples are presented of (2+1)-dimensional and (3+1)-dimensional spacetimes, some of which have Finkelstein-Misner kinks. The 2+1 spacetimes have constant curvature, nonzero vorticity and perfect fluid sources. The example of a kink spacetime in 3+1 dimensions is analogous to the 2+1 models, although the source is a scalar field, rather than a fluid.
https://doi.org/10.1142/9789812704030_0234
In recent years, quantum inequalities have been proven which greatly constrain the magnitude and duration of negative energy densities seen by an observer. However, it has recently been shown that there is no restriction on the amount of negative energy that can be found in a given volume of space at a fixed time. An explicit example of a quantum state in flat spacetime which illustrates this behavior will be presented. Some of the implications of this result will also be discussed.
https://doi.org/10.1142/9789812704030_0235
We study (3+1) Morris-Thorne wormhole to investigate its higher dimensional embedding structures and thermodynamic properties. It is shown that the wormhole is embedded in (5+2) global embedding Minkowski space. This embedding enables us to construct the wormhole entropy and wormhole temperature by exploiting Unruh effects. We also propose a possibility of negative temperature originated from exotic matter distribution of the wormhole.
https://doi.org/10.1142/9789812704030_0236
This essay reviews some of the recent progress in the area of energy conditions and wormholes. Most of the discussion centers on the subject of “quantum inequality” restrictions on negative energy. These are bounds on the magnitude and duration of negative energy which put rather severe constraints on its possible macroscopic effects. Such effects might include the construction of wormholes and warp drives for faster-than-light travel, and violations of the second law of thermodynamics. Open problems and future directions are also discussed.
https://doi.org/10.1142/9789812704030_0237
A brief account on the results of a numerical investigation of highly excited ’t Hooft-Polyakov magnetic monopoles in SU(2) gauge theory is provided here. The relevant numerical simulations were carried out based on the simultaneous use of the technique of conformal compactification and on that of the hyperboloidal initial value problem. It was found that an initially static monopole does not radiate the entire energy of the exciting pulse toward future null infinity. Rather, a long-lasting quasi-stable ‘breathing state’ develops in the central region and certain expanding shell structures – built up by very high frequency oscillations – are formed in the far away region.
https://doi.org/10.1142/9789812704030_0238
The present paper describes a nonlinear superposition of the stationary euclidon solution with an arbitrary vacuum axially symmetric Einstein field on the basis of the method of variation of parameters. The formulae obtained have a simple and compact form, permitting an effective nonlinear ”addition” of the solutions.
https://doi.org/10.1142/9789812704030_0239
No abstract received.
https://doi.org/10.1142/9789812704030_0240
We study the scalar and spinor perturbation to Kerr-NUT space-time, that is, Klein-Gordan and Dirac equation therein. The equations are invariant under duality transformation between the gravitational electric (M) and magnetic (l) charge, radial and angular coordinate, and radial and angular component of the field. We solve the equations separating into radial and angular parts. Moreover, if sets of Klein-Gordan and Dirac equation and corresponding solutions are known for Kerr space-time, under duality transformation, those in dual Kerr space-time are shown to be achieved. A few examples of solution are shown. We comment about the horizon and singularity conditions.
https://doi.org/10.1142/9789812704030_0241
We present a subclassification of stationary spacetimes. The spaces are such that have a couple of Killing vectors, one of them timelike and the another one spacelike, within the Petrov classification this spaces are G2I on T2. Additionally we imposed the conformal flatness condition.
https://doi.org/10.1142/9789812704030_0242
We will briefly review the definition and classification of classical and quantum singularities in general relativity. Examples of classically singular spacetimes that do not have quantum singularities will be given. We will present results on quantum singularities in quasiregular spacetimes. We will also show that a strong repulsive ”potential” near the classical singularity can turn a classically singular spacetime into a quantum mechanically nonsingular spacetime.
https://doi.org/10.1142/9789812704030_0243
For m2 < a2+q2, with m, a, and q respectively the source mass, angular momentum per unit mass, and electric charge, the Kerr-Newman (KN) solution of Einstein’s equation reduces to a naked singularity of circular shape, enclosing a disk across which the metric components fail to be smooth. By considering the Hawking and Ellis extended interpretation of the KN spacetime, it is shown that, similarly to the electron-positron system, this solution presents four inequivalent classical states. Making use of Wheeler’s idea of charge without charge, it becomes possible to naturally represent them in a Lorentz spinor basis. The state vector representing the whole KN solution is then constructed, and its evolution is shown to be governed by the Dirac equation.
https://doi.org/10.1142/9789812704030_0244
We derive some properties of spacetimes which contain an irrotational dust fluid and in which there is a kinematic self-similarity vector field of the second, zeroth or infinite kind. For the spherically symmetric case, in which a kinematic self-similarity vector is neither parallel nor orthogonal to the fluid flow, we obtain the explicit forms of the solutions, which belong to the marginally bound Lemaître-Tolman-Bondi solutions. The physical properties of the solutions are also discussed.
https://doi.org/10.1142/9789812704030_0245
We discuss the Newtonian limit of boost-rotation symmetric spacetimes within the framework of Ehler’s frame theory.
https://doi.org/10.1142/9789812704030_0246
Cosmological models of Bianchi type V are investigated using a tetrad approach based on Cartan’s invariant description of spacetimes. The system can be reduced to an integrable system of five first order ordinary differential equations, suitable for perturbative and numerical calculations. The general solution is tilted and describes a fluid with shear and vorticity. We then solve the linearized equations around the open Friedmann universe. The full system is also studied numerically and the perturbative solutions agree well with the numerical ones in the appropriate domains.
https://doi.org/10.1142/9789812704030_0247
Stable gravitating lumps with a false vacuum core surrounded by the true vacuum in a scalar field potential exist in the presence of fermions at the core. These objects may exist in the universe at various scales.
https://doi.org/10.1142/9789812704030_0248
No abstract received.
https://doi.org/10.1142/9789812704030_0249
We report on the present status of the resonant gravitational waves detectors EXPLORER and NAUTILUS operated by the ROG collaboration at CERN and at the INFN Frascati National Laboratories respectively. EXPLORER has been operating in continuous data taking for three years. NAUTILUS during 2002 underwent a partial overhaul of its read-out electronics. The results obtained since May 2003 show a considerable improvement in the performances of the apparatus. Both the detectors exhibit an unprecedented useful bandwidth: in over 30 Hz their spectral sensitivities are better than with a duty cycle only limited by cryogenic operations.
https://doi.org/10.1142/9789812704030_0250
In this work we present results relative to a mathematical model for the mechanical response of the Brazilian Mario SCHENBERG gravitational wave (GW) detector to such waves. We found the physical parameters that are involved in this response assuming a linear elastic theory. Adopting this approach we determined the system’s resonant frequencies for the case when six i-mode mechanical resonators are coupled to the antenna surface according to the arrangement suggested by Johnson and Merkowitz: the truncated icosahedron configuration. This configuration presents special symmetries that allow for the derivation of an analytic expression for the mode channels, which can be experimentally monitored and which are directly related to the tensorial components of the GW. Using this model we simulated how the system behaves under a gravitational sinewave quadrupolar force and found the relative amplitudes that result from this excitation.
https://doi.org/10.1142/9789812704030_0251
No abstract received.
https://doi.org/10.1142/9789812704030_0252
Although the transducers coaxial cabling will not have any mechanical contact with the Brazilian spherical antenna surface, and so there will not be any vibration noise transmission from the laboratory to the antenna through this path, it is not desirable that this cabling be submitted to vibration in the frequency range of the antenna operation. The reason for that is because “microphonic” noise produced in the cabling before the preamplifiers can become dominant. In order to solve this problem we have designed a structure formed by small cilinders connected by cylindrical bars, which has no resonance in the frequency range of interest and works as a vibration isolation system. This structure was designed using a finite element model and the Msc/Nastran software.
https://doi.org/10.1142/9789812704030_0253
No abstract received.
https://doi.org/10.1142/9789812704030_0254
No abstract received.
https://doi.org/10.1142/9789812704030_0255
The sensitivity in interferometric measurements such as gravitational-wave detectors is ultimately limited by quantum noise of light. We discuss the use of feedback mechanisms to reduce the quantum effects of radiation pressure. We present a simple scheme based on an optomechanical sensor to monitor the mirror displacements induced by radiation pressure. The resulting quantum locking of the mirror greatly improves the sensitivity of the interferometric measurement, and is furthermore insensitive to imperfections such as losses in the interferometer.
https://doi.org/10.1142/9789812704030_0256
We propose a method to analyze seismic noise data to bound the influence of gravitational gradients affecting the sensitivity of gravitational wave detectors. We present results obtained with data taken at the LIGO Hanford Observatory. The data shows that the method is useful, and also suggests local sources of gravitational gradients.
https://doi.org/10.1142/9789812704030_0257
Mechanical loss in dielectric optical coatings of mirrors causes thermal noise. This noise is an important component of the noise budget of the next generation interferometric gravitational wave detectors currently being designed.
https://doi.org/10.1142/9789812704030_0258
We discuss a new torsion pendulum configuration for ground testing of prototype LISA (Laser Interferometer Space Antenna) displacement sensors. This new design is directly sensitive to net forces and provides a more representative test of the noisy forces and parasitic stiffnesses acting on the test mass as compared to previous ground-based experiments. We also discuss a specific application of the pendulum to the measurement of thermal gradient effects, which are expected to compose a large part of the LISA error budget.
https://doi.org/10.1142/9789812704030_0259
In Japan, a next-generation laser interferometer for gravitational wave detection is proposed. This detector, named as large-scale cryogenic gravitational wave telescope (LCGT), is planed as a 3-km-arm interferometer which will be constructed in Kamiokamine using cryogenic technologies in order to reduce any kinds of thermal noise. Several research-and-development projects are going on. The current status of the projects is reported.
https://doi.org/10.1142/9789812704030_0260
Energetic particle radiation in the form of galactic cosmic rays and solar particles will cause the LISA test masses to become charged. This will give rise to disturbing forces on the test masses through both Lorentz and Couloumb interactions which can translate into acceleration noise, coupling of the spacecraft and test mass motion and coherent signals in the measurement bandwidth. To minimise these effects, the charge management system on LISA will control the amount of charge on the test masses through the photo-electric effect using a system of UV illumination. We present the estimates of the exposure of the spacecraft to energetic particles and the resultant test mass charging rates based on detailed charging simulations using GEANT4. We also describe the system used to measure and manage the charge on the test masses.
https://doi.org/10.1142/9789812704030_0261
In this work we calculate the performance of the Mario Schenberg gravitational wave detector to observe black hole’s ringdown waveform. This kind of signal is originated from a black hole (BH) perturbation. The waveform looks like damped sinusoid that can be calculated analytically using BH perturbation theory. We simulated ringdown waveforms, introduced them on Schenberg model and obtained results which show that the detector will be sensitive enough to observe this kind of signals in a radius of ~ 20kpc.
https://doi.org/10.1142/9789812704030_0262
We estimate the resolution limit frequency of the background of white dwarfs binaries for the LISA detector. Above this limit frequency signals from individual binary systems can be identified. Our estimate is based on the analysis of the likelihood function and the Fisher information matrix. For a signal model that neglects the amplitude modulation we find that the resolution limit frequency can lie in the range from 0.87 to 1.45 mHz.
https://doi.org/10.1142/9789812704030_0263
No abstract received.
https://doi.org/10.1142/9789812704030_0264
No abstract received.
https://doi.org/10.1142/9789812704030_0265
From Mercury’s perihelion precession (open question from 1845 to 1915) to Gravity Probe-B satellite (first proposal in 1959, launch in 2004), General Relativity had to deal with precession phenomena. Perihelion advancement precession (Einstein), geodetic (de Sitter), gravitomagnetic (Lense-Thirring) and spin-spin (Pugh-Schiff) precession are compared with all Newtonian terms in cases of weak and strong gravitational fields. Qualitative models and order of magnitude estimates from classical papers are presented.
https://doi.org/10.1142/9789812704030_0266
Eddington during the years of pioneering in General Relativity worked also in observational statistics of variable stars, and proposed a model for Cepheids’ pulsation. The statistical analysis of time series of long-period variable stars (Mira): Mira Ceti and χ Cygni made by Eddington and Plakidis in 1929 has been extended to luminosities dominion and to R Leonis and R Hydrae. The difference between consecutive maxima ΔM is negatively correlated with the magnitude M of the first maximum of the pair. Bright maxima are preferentially followed by dim ones, excepted for R Hydrae. It shows a possible two-periods time pattern of its maxima, which makes easier predictions of its maxima. Our two-points correlation analysis is still not enough to give a satisfactory predictive model of maxima sequence.
https://doi.org/10.1142/9789812704030_0267
Kaluza’s and Klein’s contributions to Kaluza-Klein-theory.
The Kaluza-Klein-theory is one of the “classics” of modern theoretical physics. All theories that construct a space with extra dimensions, such as superstring and membrane theory, are based on the structure of this unified theory. The original five-dimensional theories by Theodor Kaluza (from 1921) and Oskar Klein (from 1926) have not yet been closely analysed, historically. What has survived as an established part of physics is a “folklore version” that mixes together elements from both theories. Our paper analyses the individual mathematical and physical contributions by Kaluza and Klein. It points out the importance of the achievements of these two founders of five-dimensional unified theories, and compares them with the folklore version of the Kaluza-Klein theory.
https://doi.org/10.1142/9789812704030_0268
We study the dynamics of a bounded gravitational collapsing configuration emitting gravitational waves, where the exterior spacetime is described by Robinson-Trautman geometries. The full nonlinear regime is examined by using the Galerkin method that allows us to reduce the equations governing the dynamics to a finite-dimensional dynamical system, after a proper truncation procedure. Amongst the obtained results of the nonlinear evolution, one of the most impressive is the fact that the distribution of the mass fraction extracted by gravitational wave emission satisfies the distribution law of nonextenstve statistics and this result is independent of the initial configurations considered.
https://doi.org/10.1142/9789812704030_0269
The inverse square law is tested in a series of null experiments whereby the gravitational torque on a Cavendish balance due to a couple of large masses is balanced by a closer couple of two small masses. The experimental set-up and preliminary results are presented.
https://doi.org/10.1142/9789812704030_0270
No abstract received.
https://doi.org/10.1142/9789812704030_0271
A hypothetical anomalous coupling of charge to gravity is considered leading to a violation of the Universality of Free Fall. Corresponding tests suffer from stray electric fields induced by the Earth's gravitational field and by non-ideal materials. Here we show that in space under free fall conditions and with the use of novel coating techniques the errors for this kind of experiment can be decreased considerably. As a result, a test of the Universality of Free Fall for charged matter can be carried through leading to an estimate for the Eötvös coefficient at the 10−5 level.
https://doi.org/10.1142/9789812704030_0272
The possibility of performing post-Newtonian gravitoelectromagnetic measurements with a joint LAGEOS-LAGEOS II-OPTIS space-based mission is investigated.
https://doi.org/10.1142/9789812704030_0273
The fine structure constant can be represented in many ways depending on which fundamental constants and units are chosen. This confuses analysis in terms of dimensioned constants as the meaning changes depending on the unit system at hand. In this work a new global definition of the fine structure constant is given, which is independent of the unit representation. This is achieved by showing that it is proportional to the quanta of electric and magnetic flux of force of the electron. Thus, a variation is shown to manifest due to a differential change in the fraction of the quanta of electric and magnetic flux of force of the electron. Conversely, ħc is proportional to the product. The representation is discussed with respect to temporal drift, and the running of the fine structure constant at high energies (small distances). With regards to temporal drift, a proof is given, which shows that it is impossible to determine which fundamental constant is varying if the fine structure constant varies. Also, it is shown that the running of the fine structure constant is due to equal components of electric screening (polarization of vacuum) and magnetic anti-screening (magnetization of vacuum), which cause the perceived quanta of electric charge to increase at small distances, while the magnetic flux quanta decreases. This introduces the concept of the ‘bare magnetic flux quanta’ as well as the ‘bare electric charge’.
https://doi.org/10.1142/9789812704030_0274
The GP-B’s mission goal is to measure relativistic effects on the drift rate of the gyroscope. In order to achieve this goal, the GP-B’s gyroscope rotor is made to be spherical to better than one part in a million. On this close-to-perfect-sphere rotor, there exist a small residual torques generated by the rotor’s suspension system, and these torques produce unwanted non-relativistic drift rate of the gyroscope which is one of the error sources of the mission.
Although this torque is very small, its analysis is crucial, as is experimental validation of the modeling, because the relativistic effect planned to be measured is also extremely small, which means insignificant out-of-roundness of the gyroscope rotor could easily produce an excessive amount of drift for the mission.
Presented is a summary of the theoretical analysis of the support-dependent torques, estimation of the GP-B science-mission drift rate, and result from experimental validation of the modeling of the torque. Also, planned on-orbit activities are summarized.
https://doi.org/10.1142/9789812704030_0275
Being one of the pillars of modern physics, Lorentz invariance has to be tested as precisely as possible. We review the present status of laboratory tests of Lorentz invariance. This includes the tests of properties of light propagation which are covered by the famous Michelson–Morley, Kennedy–Thorndike, and Ives–Stilwell experiments, as well as tests on dynamical properties of matter as, e.g., tests exploring the maximum velocity of massive particles or tests of the isotropy of quantum particles in Hughes–Drever experiments.
https://doi.org/10.1142/9789812704030_0276
Due to its large number of symmetries the Schwarzschild Black Hole can be described by a specific two-dimensional dilaton gravity model. After reviewing classical, semi-classical and quantum properties and a brief discussion of virtual black holes deformations are studied: the first part is devoted to deformations of the Lorentz-symmetry, the second part to dynamical deformations and its role for the long time evaporation of the Schwarzschild Black Hole.
https://doi.org/10.1142/9789812704030_0277
We show that Loop Quantum Gravity provides new mechanisms through which observed matter-antimatter asymmetry in the Universe can naturally arise at temperatures less than GUT scale. This is enabled through the introduction of a new length scale much greater than Planck length (lP), to obtain semi-classical weave states in the theory. This scale which depends on the momentum of the particle modifies the dispersion relation for different helicities of fermions and leads to lepton asymmetry.
https://doi.org/10.1142/9789812704030_0278
The quantum fluctuations of the stress tensor of matter fields lead to fluctuations of the spacetime geometry. One way in which these fluctuations might manifest themselves is through expansion fluctuations of the rays from a distant object viewed through the fluctuating spacetime. We discuss this issue by using the Raychaudhuri equation as a Langevin equation. Some explicit results for the case of a thermal bath are presented.
https://doi.org/10.1142/9789812704030_0279
Starting from an heuristic approach to the semiclassical limit in loop quantum gravity, the construction of effective Hamiltonians describing Planck length corrections to the propagation of photons and spin 1/2 fermions, leading to modified energy-momentum relations, is summarized. Assuming the existence of a privileged reference frame, we also review the determination of stringent bounds upon the parameters labelling such corrections, based upon already existing experimental data, which are found to be from five to nine orders of magnitude below the expected values.
https://doi.org/10.1142/9789812704030_0280
I describe some phenomenological contexts in which it is possible to investigate effects induced by (string-motivated) canonical noncommutative spacetime. Due to the peculiar structure of the theory the usual criteria adopted for the choice of experimental contexts in which to test a theory may not be applicable here; care is required in taking into account the effects of IR/UV mixing. This invites one to consider contexts involving particles of relatively high energies, like high-energy cosmic rays and certain high-energy gamma rays observed from distant astrophysical sources.
https://doi.org/10.1142/9789812704030_0281
If gravity becomes strong at the TeV scale, forthcoming particle colliders and ultra high energy cosmic ray detectors will probe quantum gravity. In this talk, I will briefly discuss what we should see, and why we may actually see nothing.
https://doi.org/10.1142/9789812704030_0282
The conventional understanding of the Universe admits four fundamental interactions or forces – Gravitational, Electromagnetic, and the Strong and Weak Nuclear Forces. It is widely believed that these four forces are really manifestations of a single underlying and unifying interaction that can be revealed if one examines nature with sufficiently precise measurement. Naturally it is not clear what type of precise measurement will reveal deviations from the present understanding. Particle accelerators directly probe nature on short-distance and high-energy; an alternative approach is to search for exquisitely small deviations from known physics that can be seen on conventional energy and distance scales. Examples of such measurements include new versions of the famous Michelson-Morley and Kennedy-Thoradike experiments, as well as laboratory measurements of the time independence of the fine structure constant and tests of Standard Model Extensions. We are developing a new range of oscillators based on high-Q microwave resonators, when combined with the best from across the world, offer the prospect of measurements that may reveal this next layer of understanding. To achieve these types of measurements, oscillators with frequency stability in the sub-10−15 range are necessary. This type of performance can be achieved with state-of-the art cryogenic microwave oscillators.
https://doi.org/10.1142/9789812704030_0283
The Poincaré sector of a recently deformed conformal algebra is proposed to describe, after the identification of the deformation parameter with the Planck length, the symmetries of a new relativistic theory with two observer-independent scales (or DSR theory). Also a new non-commutative space-time is proposed. It is found that momentum space exhibits the same features of the DSR proposals preserving Lorentz invariance in a deformed way. The space-time sector is a generalization of the well known non-commutative κ-Minkowski space-time which however does not preserve Lorentz invariance, not even in the deformed sense. It is shown that this behavior could be expected in some attempts to construct DSR theories starting from the Poincaré sector of a deformed symmetry larger than Poincaré symmetry, unless one takes a variable Planck length. It is also shown that the formalism can be useful in analyzing the role of quantum deformations in the “AdS-CFT correspondence”.
https://doi.org/10.1142/9789812704030_0284
Implications of noncommutative field theories with commutator of the coordinates of the form [xμ, xυ] = iΛμνωxω with nilpotent structure constants are investigated. It is shown that a free quantum field theory is not affected by noncommutativity, but that invariance under translations is broken and hence the energy-momentum conservation is not respected. The new energy-momentum law is expressed by a Poincaré-invariant equation and the resulting kinematics is developed and applied to the astrophysical puzzle related with the observed violation of the GZK cutoff.
https://doi.org/10.1142/9789812704030_0285
Quantum gravitational effects may induce stochastic fluctuations in the structure of space-time, to produce a characteristic foamy structure. It has been known for some time now that these fluctuations may have observable consequences for the propagation of cosmic ray particles over cosmological distances. While invoked as a possible explanation for the detection of the puzzling cosmic rays with energies in excess of the threshold for photopion production (the so-called super-GZK particles), we demonstrate here that lower energy observations may provide strong constraints on the role of a fluctuating space-time structure. We note also that the same fluctuations, if they exist, imply that some decay reactions normally forbidden by elementary conservation laws, become kinematically allowed, inducing the decay of particles that are seen to be stable in our universe. Due to the strength of the prediction, we are led to consider this finding as the most severe constraint on the classes of models that may describe the effects of gravity on the structure of space-time. We also propose and discuss several potential loopholes of our approach, that may affect our conclusions. In particular, we try to identify the situation in which despite a fluctuating energy-momentum of the particles, the reactions mentioned above may not take place.
https://doi.org/10.1142/9789812704030_0286
Quantum foam, also known as spacetime foam, has its origin in quantum fluctuations of spacetime. Its physics is intimately linked to that of black holes and computation. Arguably it is the source of the holographic principle which limits how densely information can be packed in space. Various proposals to detect the foam are briefly discussed. Its detection will provide us with a glimpse of the ultimate structure of spacetime.
https://doi.org/10.1142/9789812704030_0287
Kaluza-Klein reduction of the 3-dimensional gravitational Chern-Simons term leads to a 2-dimensional theory that supports a symmetry breaking solution and an associated kink interpolating between AdS and dS geometries.
https://doi.org/10.1142/9789812704030_0288
Are the classical singularities of general relativistic spacetimes, normally defined by the incompleteness of classical particle paths, still singular if quantum mechanical particles are used instead? This is the question we will attempt to answer for particles obeying the quantum mechanical wave equations for scalar, null vector and spinor particles. The analysis will be restricted to certain static general relativistic spacetimes that classically contain the mildest true classical singularities, quasiregular singularities.
https://doi.org/10.1142/9789812704030_0289
The one-loop effective action for a scalar field defined in the ultrastatic space-time where non standard logarithmic terms in the asymptotic heat-kernel expansion are present, is investigated by a generalisation of zeta-function regularisation. It is shown that additional divergences may appear at one-loop level. The one-loop renormalisability of the model is discussed and the one-loop renormalisation group equations are derived.
https://doi.org/10.1142/9789812704030_0290
We examine the electromagnetic field quantization in static spherically symmetric spacetimes of arbitrary n dimensions in a modified Feynman gauge. This gauge is closely related to the A0= 0 gauge and reduces to the Feynman gauge in Minkowski spacetime. The electromagnetic field equations in a black hole spacetime are not decoupled and are difficult to analyze in the Lorenz gauge. However, if we require the field to be divergence free on a (n − 2)-sphere (the spherical Coulomb gauge), the equations for the physical modes reduce to decoupled scalar field equations. Furthermore, solutions in terms of familiar special functions can be found in the low-energy regime. By using the electromagnetic field modes obtained in this modified Feynman gauge we calculate the low energy absorption cross sections of photons for the Schwarzschild and extreme Reissner-Nordström black holes in arbitrary dimensions higher than three.
https://doi.org/10.1142/9789812704030_0291
A few years ago H. Morales and the author introduced a type of generalized derivative that contained both vector and scalar boson fields. Here it is shown how to construct a full-fledged generalized Yang-Mills theory through the introduction of extended field multiplets. These are mixed fields that include both a vector and a scalar part. It is shown how the standard model of high energy physics appears naturally in a Yang-Mills theory that uses extended field multiplets through two spontaneous symmetry breakings, one of a scalar field and another of a vector field.
https://doi.org/10.1142/9789812704030_0292
A consistent model for quantum field is constructed in which state functions in space have compact support. It is proved that all algebraic structures of the quantum field theory are preserved in this model. The momentum in this construction is a global conserved quantity. This makes it possible that the theory be compatible with the theory of relativity. This model answers some fundamental questions as locality. It is explicitly shown that divergent terms in Feynman Rules for λɸ4 theory can be finite without renormalization. We show also that this model can describes in more easier way phenomena in solid state as superconductivity and superfluidity. We also show that Feynman’s conclusion of one photon experiment is a miss-interpretation. Based on Confined Quantum Field Theory a pre-super conducting state is constructed. These states are those that theirs domain are a multiple of the periodicity of the bulk. It is shown that such a state do not exchange energy with the bulk with periodic potential. If domains of some numbers of electrons are positioned in such a way that follow the periodicity of the bulk. These electrons do not exchange energy with neither the bulk nor with the pre-super conducting electrons. The stability character of such a collective states is compatible to the states of super conductivity and superfluidity.
https://doi.org/10.1142/9789812704030_0293
By applying the covariant Taylor expansion method of the heat kernel, Einstein anomalies associated with a Weyl fermion of spin 1/2 in 4, 6 and 8 dimensional Riemann-Cartan space are manifestly given. There are some unknown terms in these anomalies.
https://doi.org/10.1142/9789812704030_0294
We are concerned with the particle creation during the naked-singularity formation in spherically symmetric self-similar collapse without specifying the collapsing matter. In generic case, the power of quantum emission is found to be proportional to the inverse square of the remaining time to the Cauchy horizon. Moreover, the constant of proportion can be arbitrarily large in the limit to marginally naked singularity. Therefore, the unbounded power is especially striking in the case that a event horizon is very close to the Cauchy horizon because the emitted energy can be arbitrarily large in spite of a cut-off expected from quantum gravity. The divergence of the redshift of emitted particles is found to cause the divergence of power to positive or negative infinity, depending on the coupling manner of scalar fields to gravity. Above results suggest the instability of the Cauchy horizon in spherically symmetric self-similar collapse from quantum field theory and seem to support the existence of a semiclassical cosmic censor.
https://doi.org/10.1142/9789812704030_0295
A cosmic dislocation provides a safe arena to study vacuum polarization effects around a spinning cosmic string, and to check the chronology protection conjecture.
https://doi.org/10.1142/9789812704030_0296
We study the behaviour of nonrelativistic quantum particles interacting with different backgrounds, namely, the generalized Kratzer potential in the spacetime of a cosmic string and the Morse potential in the spacetime of a global monopole. In both cases we find the energy spectra and show how they differ from their free-spacetime values.
https://doi.org/10.1142/9789812704030_0297
The renormalized Feynman propagator for a massless scalar field around a cosmic dispiration (a cosmic string with a screw dislocation) is derived. Some vacuum fluctuations are examined. In particular, it is shown that the vacuum polarization induces a non vanishing off-diagonal component in the energy momentum tensor.
https://doi.org/10.1142/9789812704030_0298
The dominant contribution for the renormalized stress tensor of a massless scalar field around a cosmic string with a dislocation was presented recently. By considering this energy-momentum distribution as source of the linearized semiclassical Einstein equations, the first order perturbative solution for the approximated spacetime geometry is derived. The non trivial motion of test particles is discussed, showing that a helical motion is quantum mechanically induced by the presence of the defect.
https://doi.org/10.1142/9789812704030_0299
No abstract received.
https://doi.org/10.1142/9789812704030_0300
Each approach to the quantum-gravity problem originates from expertise in one or another area of theoretical physics. The particle-physics perspective encourages one to attempt to reproduce in quantum gravity as much as possible of the successes of the Standard Model of particle physics, and therefore, as done in String Theory, the core features of quantum gravity are described in terms of graviton-like exchange in a background classical spacetime. From the general-relativity perspective it is natural to renounce to any reference to a background spacetime, and to describe spacetime in a way that takes into account the in-principle limitations of measurements. The Loop Quantum Gravity approach and the approaches based on noncommutative geometry originate from this general-relativity perspective. The condensed-matter perspective, which has been adopted in a few recent quantum-gravity proposals, naturally leads to scenarios in which some familiar properties of spacetime are only emergent, just like, for example, some emergent collective degrees of freedom are relevant to the description of certain physical systems only near a critical point. Both from the general-relativity perspective and from the condensed-matter perspective it is natural to explore the possibility that quantum gravity might have significant implications for the fate of Lorentz symmetry in the Planckian regime. From the particle-physics perspective there is instead no obvious reason to renounce to exact Lorentz symmetry, although (“spontaneous”) Lorentz symmetry breaking is of course possible. A fast-growing phenomenological programme looking for Planck-scale departures from Lorentz symmetry can contribute to this ongoing debate.
https://doi.org/10.1142/9789812704030_0301
We provide a discussion about the necessity to fix the reference frame before quantizing the gravitational field. Our presentation is based on stressing how the 3+1-slicing of the space time becomes an ambiguous procedure as referred to a quantum 4-metric.
https://doi.org/10.1142/9789812704030_0302
We consider gauge fields and tensor kernels based on differential p—forms on real hyperbolic manifolds. The spectral functions of the topological invariant of three-dimensional black hole manifolds associated with physical degrees of freedom of the Hodge-de Rham operators are analyzed.
https://doi.org/10.1142/9789812704030_0303
A massive scalar field with arbitrary coupling in S1 × S3 space, which mimics the thermal expanding universe is considered and new mass-dependent entropy ratios which, differently from the conformal limit, satisfy the Bekenstein’s and Verlinde’s bounds in the physical region are found.
https://doi.org/10.1142/9789812704030_0304
We compute the two-loop correction to Casimir energy density of a massive scalar field with a λϕ4 self-interaction submitted to periodic and antiperiodic boundary conditions along one spatial direction.
https://doi.org/10.1142/9789812704030_0305
We show that the measurements of the lateral Casimir force between metallized corrugated surfaces of a plane plate and large sphere lead to constraints on corrections to Newtonian law of gravitation predicted by extra-dimensional physics and other extensions to the Standard Model. These constraints are quite competitive with the other constraints obtained in nanometer interaction range.
https://doi.org/10.1142/9789812704030_0306
No abstract received.
https://doi.org/10.1142/9789812704030_0307
No abstract received.
https://doi.org/10.1142/9789812704030_0308
We study vacuum pressures arising from the electron-positron vacuum zero point energy in a strong magnetic field. We discuss the analogy with the vacuum zero point electromagnetic modes inside parallel metallic plates, leading to the Casimir effect. In the magnetic field case some negative pressure arises transversal to B, and a positive pressure along B appears. The corresponding expression for the Casimir positive pressure along the plates is predicted. The magnetic negative vacuum pressure is discussed for the low and strong limits, the latter being important due to its astrophysical consequences.
https://doi.org/10.1142/9789812704030_0309
We review our recent construction of all stable static fermion bags in the 1 + 1 dimensional Gross-Neveu model with N flavors of Dirac fermions, in the large N limit. In addition to the well known kink and topologically trivial solitons (which correspond, respectively, to the spinor and antisymmetric tensor representations of O(2N)), there are also threshold bound states of a kink and a topologically trivial soliton: the heavier topological solitons (HTS). The mass of any of these newly discovered HTS’s is the sum of masses of its solitonic constituents, and it corresponds to the tensor product of their O(2N) representations. Thus, it is marginally stable (at least in the large N limit). Furthermore, its mass is independent of the distance between the centers of its constituents, which serves as a flat collective coordinate, or a modulus. There are no additional stable static solitons in the Gross-Neveu model. We have provided detailed derivation of the profiles, masses and fermion number contents of these static solitons elsewhere1,2.
https://doi.org/10.1142/9789812704030_0310
We discuss the quantization of the electromagnetic field in the presence of a perfectly reflecting parabolic cylindrical mirror. The mean squared electric field near the focus is calculated using a geometric optics approximation, and is found to grow as the inverse fourth power of the distance from the focus. This amounts to an enhancement of the vacuum fluctuations by geometric focusing. We show that the renormalized mean squared electric field can be either positive or negative, depending upon the details of the geometry. This leads to either an attractive or repulsive force, respectively, on an atom placed near the focus. We discuss some possible experimental tests of these results, including trapping of atoms near the focus by Casimir forces.
https://doi.org/10.1142/9789812704030_0311
We consider the interaction of a small metal sphere with an interface. Both the material in the sphere and that in the interface are described by a Drude model dielectric function. In the limit that the plasma frequency for the interface is much larger than that for the sphere, we recover a previous result for a perfectly reflecting interface. In the case that the size of the sphere is much smaller than the plasma wavelength of its material, we find that the force is alternately attractive and repulsive as a function of the distance from the interface. It should be possible to cancel the force of gravity and hence levitate small spheres by means of this effect. The enhanced Casimir force can be interpreted as a modification of the spectrum of vacuum fluctuations which contribute to the force. The effect is large enough that an experimental test should be possible.
https://doi.org/10.1142/9789812704030_0312
We show that the effective action for κ-deformed quantum fields can be written as a real part proportional to the sum of field frequencies plus an imaginary part proportional to the sum of the squares of the field frequencies. The result clarifies the relation between Casimir energy and photon creation in κ-deformed field.
https://doi.org/10.1142/9789812704030_0313
We calculate the Casimir force between rough metallic plates. If the roughness spectrum contains small spatial wavelengths as compared to the separation between the two plates, we show that the roughness correction is larger than the result of the proximity force approximation employed in the analysis of recent experimental results.
https://doi.org/10.1142/9789812704030_0314
We show that the Casimir energy contributes to the inertial mass of a parallel-plates cavity system.
https://doi.org/10.1142/9789812704030_0315
I argue that the cosmological constant problem is an artifact due to the unfounded interpretation of this fundamental constant as vacuum energy density.
https://doi.org/10.1142/9789812704030_0316
It is shown that space-time may possess the differentiability properties of manifolds as well as the ultraviolet finiteness properties of lattices. Namely, if a field’s amplitudes are given on any sufficiently dense set of discrete points this could already determine the field’s amplitudes at all other points of the manifold. The criterion for when samples are sufficiently densely spaced could be that they are apart on average not more than at a Planck distance. The underlying mathematics is that of classes of functions that can be reconstructed completely from discrete samples. The discipline is called sampling theory and is at the heart of information theory. Sampling theory establishes the link between continuous and discrete forms of information and is used in ubiquitous applications from scientific data taking to digital audio.
https://doi.org/10.1142/9789812704030_0317
The idea of a role for DSR (doubly-special relativity) in quantum gravity finds encouragement in a few scenarios, but in order to explore some key conceptual issues it is necessary to find a well-understood toy-quantum-gravity model that is fully compatible with the DSR principles. Perhaps the most significant source of encouragement comes from the recent proposal of a path for the emergence of DSR in Loop Quantum Gravity, which however relies on a few assumptions on the results of some computations that we are still unable to perform. Indications in favor of the possibility of using some elements of κ-Poincaré Hopf algebras (and of the related κ-Minkowski spacetime) for the construction of a DSR theory have been discussed extensively, but a few open issues must still be resolved, especially in the two-particle sector. It has been recently observed that certain structures encountered in a formulation of 2+1-dimensional classical-gravity models would fit naturally in a DSR framework, but some elements of these models, including the description of observers, might be incompatible with the DSR principles.
https://doi.org/10.1142/9789812704030_0318
We describe an approach to the quantization of (2+1)-dimensional gravity with topology ℝ × T2 and negative cosmological constant, which uses two quantum holonomy matrices satisfying a q-commutation relation. Solutions of diagonal and upper-triangular form are constructed, which in the latter case exhibit additional, non-trivial internal relations for each holonomy matrix. This leads to the notion of quantum matrix pairs. These are pairs of matrices with non-commuting entries, which have the same pattern of internal relations, q-commute with each other under matrix multiplication, and are such that products of powers of the matrices obey the same pattern of internal relations as the original pair. This has implications for the classical moduli space, described by ordered pairs of commuting SL(2, ℝ) matrices modulo simultaneous conjugation by SL(2, ℝ) matrices.
https://doi.org/10.1142/9789812704030_0319
Recent attempts to resolve the ambiguity in the loop quantum gravity description of the quantization of area has led to the idea that j = 1 edges of spin-networks dominate in their contribution to black hole areas as opposed to j = 1/2 which would naively be expected. This suggests that the true gauge group involved might be SO(3) rather than SU(2). We argue that the idea that a version of the Pauli principle is present in loop quantum gravity allows one to maintain SU(2) as the gauge group while still naturally achieving the desired suppression of spin-1/2 punctures. Such an idea can be motivated by arguments from geometric quantization even though the SU(2) under consideration does not have the geometrical interpretation of rotations in 3-dimensionaI space, and its representation labels do not correspond to physical angular momenta. In this picture, it is natural that macroscopic areas come almost entirely from j = 1 punctures rather than j = 1/2 punctures, and this is for much the same reason that photons lead to macroscopic classically observable fields while electrons do not.
https://doi.org/10.1142/9789812704030_0320
We briefly discuss discrete models of space-time with boundary in different formalisms. We outline among others how to approach simplicial gravity with boundary terms in mainly 3 dimensions.
https://doi.org/10.1142/9789812704030_0321
We give an introductory account to the renormalization of models without metric background. We sketch the application to certain discrete models of quantum gravity such as spin foam models.
https://doi.org/10.1142/9789812704030_0322
We show how the discrete spectra of geometrical observables appearing in Loop Quantum Gravity are not in contradiction with ordinary Lorentz symmetry.
https://doi.org/10.1142/9789812704030_0323
Ashtekar-Wheeler-DeWitt Equation for quantized coupled gravitational and scalar fields is considered, together with its expansion in terms of a dimensionless parameter which is the ratio of the “typical” total potential energy density to the Planck energy density. Conditions favourable to the inflationary scenario are derived, and the correspondence between inflationary states and perturbations of the exact Chern-Simons State for quantum gravity in 4-dimensions are discussed. If certain conditions are satisfied, the Ashtekar-Wheeler-DeWitt equation reduces to a Schrodinger Equation which describes quantized scalar field which evolves with respect to a Schwinger-Tomonaga time which increases with the volume of the universe in an inflationary universe with approximate de Sitter metric.
https://doi.org/10.1142/9789812704030_0324
No abstract received.
https://doi.org/10.1142/9789812704030_0325
The noncommutative quantum cosmology is considered in the case of some scalar-tensor theories with self-interaction. Exact solutions are found and compared with the commutative case.
https://doi.org/10.1142/9789812704030_0326
We explicitly calculate the Green functions describing quantum changes of topology in Friedman-Lemaître-Robertson-Walker Universes whose spacelike sections are compact but endowed with distinct topologies. The calculations are performed using the long wavelength approximation at second order in the gradient expansion. We argue that complex metrics are necessary in order to obtain a non-vanishing Green functions and interpret this fact as demonstrating that a quantum topology change can be viewed as a quantum tunneling effect.
https://doi.org/10.1142/9789812704030_0327
We discuss the loss of coherence in interfering electron beams due to fluctuating electromagnetic fields. This effect arises from fluctuations of the Aharonov-Bohm phase and results in a loss of contrast in the interference pattern. We present some explicit results for various examples of classical time-varying electromagnetic fields. In some cases, the effect may be large enough to observe in electron interferometry experiments.
https://doi.org/10.1142/9789812704030_0328
We work out the phase-space functional integral of the gravitational field in 2 + 1 dimensions interacting with point particles in an open universe.
https://doi.org/10.1142/9789812704030_0329
The purpose of this paper is to establish additional implications of the de Broglie -Bohm (dBB) quantum mechanics towards the early universe in superstring cosmology. We investigate spatially flat FRW models within scalar-tensor theories in the presence of a dilatonic potential. Our results suggest that dBB quantum gravitational terms slow down inflation and the presence of a dilatonic potential induces effects similar to dark energy and extra dimensions.
https://doi.org/10.1142/9789812704030_0330
This contribution studies various aspects of the world volume dynamics of the M-theory five-brane, including: non-BPS solutions and solution generating symmetries; the scattering properties of world volume solutions; and the equivalence with probe brane dynamics. It is based on the paper 1.
https://doi.org/10.1142/9789812704030_0331
By examining the perturbative expansion of Quantum (super)gravity we aim to gain insight into the effective action and high energy behaviour of theories of Quantum Gravity.
https://doi.org/10.1142/9789812704030_0332
No abstract received.
https://doi.org/10.1142/9789812704030_0333
We discuss ideas that have recently been applied to the discussion of spacetimes with Closed Causal Curves (CCCs) within string theory.
https://doi.org/10.1142/9789812704030_0334
No abstract received.
https://doi.org/10.1142/9789812704030_0335
The evolution of a Universe modeled as a mixture of radiation and dark energy is analyzed by taking into account irreversible processes. The dark energy is regarded either as the quintessence or as the Chaplygin gas. The behavior of the two mixtures with different equations of state for the dark energy are compared. Among other results it is shown that for both models there exists a period of a past deceleration with a present acceleration. Moreover, the energy density of the Chaplygin gas tends to a constant value at earlier times than the energy density of quintessence does whereas the energy density of radiation for both mixtures coincide and decay more rapidly than the energy densities of the Chaplygin gas and of quintessence.
https://doi.org/10.1142/9789812704030_0336
In the brane-world scenario with low tension, brane fluctuations (branons) together with the Standard Model particles are the only relevant degrees of freedom at low energies. Branons are stable, weakly interacting, massive particles and their relic abundance can account for the dark matter of the universe. In a certain range of the parameter space, they could be detectable by future direct search experiments.
https://doi.org/10.1142/9789812704030_0337
We study the possibility to have singularity-free solutions in the effective action of string theories in the presence of moduli fields.
https://doi.org/10.1142/9789812704030_0338
A simple Hodge–type cohomological gauge model of Witten type with an underlying NT = 8 strictly nilpotent shift and co-shift symmetry is presented. It may be obtained as twisted N = 16, D = 2 super Maxwell theory. The underlying basic cohomology preserves the Hodge–type structure and, on–shell, the BRST Laplacian does not vanish.
https://doi.org/10.1142/9789812704030_0339
No abstract received.
https://doi.org/10.1142/9789812704030_0340
I describe briefly how the shearing sheet model of a patch of a galactic disk can be used to study the dynamics of spiral density waves in galactic disks.
https://doi.org/10.1142/9789812704030_0341
We study the dynamics of spherical galaxies with the Navarro-Frenk-White (NFW) density profile within the Newtonian limit of scalar-tensor theories of gravity. The scalar field is described by a modified Helmholtz equation with a source and it is coupled to the Poisson equation of standard Newtonian gravity. The net gravitational force is given by two contributions: one coming from the standard Newtonian potential and other coming from the massive scalar fields. We found general solutions for spherical systems, and in particular, we obtain results for the potential-density pairs and other relevant quantities of galactic spherical systems with the NFW density profile.
https://doi.org/10.1142/9789812704030_0342
Cosmic strings and gravitating vortices are considered in gauged sigma models with either Maxwell or Chern-Simons terms. We obtain self-duality conditions for a general two-dimensional target space which restrict the form of the scalar potential. In particular, we study the equations for the case of O(3) models (two-sphere as target space), and find cosmic string solutions of several kinds as well as gravitating vortices. We classify the solutions by their flux and topological charge. We note an interesting connection between the Maxwell and Chern-Simons type models, which is responsible for simple relations between the self-dual solutions of both types. There is however a significant difference between the two systems, in that only the Chern-Simons type sigma model gives rise to spinning cosmic vortices.
https://doi.org/10.1142/9789812704030_0343
Some recent results on rotating self-gravitating configurations composed with Bosons and Fermions are reported. Given a star composed of both Bosons and Fermions without interaction, it is shown that it is possible to obtain stable slowly rotating configurations by using the same perturbative relativistic method that usually describes neutron stars.
https://doi.org/10.1142/9789812704030_0344
We present a novel method to study interacting orbits in a fixed mean gravitational field associated with a solution of the Einstein field equations. The idea is to consider the Newton gravity among the orbiting particles in a geometry given by the main source. For this purpose, the motion equations are obtained in two different but equivalent ways. The particles can either be considered as a zeroth order (static) perturbation to the given metric or as an external Newtonian force in the geodesic equations. After obtaining the motion equations we perform simulations of two and three interacting particles moving around a black hole, i.e., in a Schwarzschild geometry. We also compare with the equivalent Newtonian problem and noted differences in the stability, e.g., binary systems were found only in the general relativistic approach.
https://doi.org/10.1142/9789812704030_0345
Functional methods permit to establish a correlation between observable variables describing the self-gravitating systems as solutions of hydrodynamic equations. The main assumptions of the problem are: incompressibility, heterogeneous density, barotropic equation of state with polytropic index n = 1, and axial symmetry for the equilibrium configurations.
https://doi.org/10.1142/9789812704030_0346
We analyze the relation between dynamical and thermodynamical instability in relativistic regime by considering a correspondence between open clusters with cutoff and isothermal clusters in a box.
https://doi.org/10.1142/9789812704030_0347
The analytic study of the rotating equilibrium figures for self-gravitating fluids, has been widely explored since the time of the classical works of Newton, Maclaurin, Jacobi, Dedekind and Riemann dealing with incompressible spheroids and ellipsoids (see e.g. S. Chandrasekhar, Ellipsoidal Figures of Equilibrium 1). The structures of the equilibrium configurations of self gravitating systems was explored in a variety of theoretical approaches. Here a summary of the current state of the topic is proposed in term of: a) the classical equilibrium sequences of a homogeneous, self gravitating and rotating fluid with uniform rotation and/or vorticity, b) generalizations of the Riemann sequences (without restrictions to the shapes), c) rotating equilibrium sequences having a polytropic equation of state, d)finally, by expressing the hydrodynamic equations in a functional form, the basic conditions for the solution of the hydrodynamic equation are stated in a fully general form, permitting the study of a series of rotating self-gravitating models, depending on the velocity profiles.
https://doi.org/10.1142/9789812704030_0348
No abstract received.
https://doi.org/10.1142/9789812704030_0349
Some general properties of the unidentified EGRET sources are briefly discussed.
https://doi.org/10.1142/9789812704030_0350
RXTE and BeppoSAX observations have yielded evidence for the presence of a secondary power-law spectral component in the spectra of several clusters of galaxies. This emission in clusters with extended regions of radio emission is likely to be by relativistic electrons that are Compton scattered by the CMB. The radio and non-thermal (NT) X-ray measurements yield the values of the volume-averaged magnetic field and electron energy density in the cluster extragalactic environment. These directly deduced quantities provide a tangible basis for the study of NT phenomena in clusters.
https://doi.org/10.1142/9789812704030_0351
It is by now clear that gamma-ray bursts originate from a spherically symmetric collapse of a massive star into a black hole endowed with electromagnetic structure (EMBH). Such theoretical approach has been confirmed to a very high level of accuracy in the explanation of the time variability, of the spectra and in the afterglow of GRBs. Here we consider EMBH as a source of UHECRs. It will be shown that such senario is coherent with the expected UHECRs flux, the observed events at 1020 eV and we will developp new idea about the origin doublet and triplet events.
https://doi.org/10.1142/9789812704030_0352
On the analogy with the Lamb shift, we study the vacuum effect that proton’s electric field interacts with virtual particles in the vacuum. We find a possible quantum instability that triggered by an external force, proton’s electric field interacting with virtual particles spontaneously induces a quantum force that back reacts on the proton in the direction of the external trigger force. Such a quantum-induced force accelerates the proton runaway, by gaining the zero-point energy from the vacuum (~ 10−5 eV/cm). This effect possibly accounts for the mysterious origin and spectrum of ultra high-energy cosmic ray (UHECR) events above 1020eV, and explains the puzzle why the GZK cutoff is absent. The candidates of these events could be primary protons from the early Universe.
https://doi.org/10.1142/9789812704030_0353
We determine the four free parameters within the EMBH model for GRB 980425 and deduce its luminosity in given energy bands, its spectra and its time variability in the prompt radiation. We compute the basic kinematical parameters of GRB 980425. In the extended afterglow peak emission the Lorentz γ factor is lower than the critical value 150 which has been found in (24) to be necessary in order to perform the tomography of the ISM surrounding. the GRB as suggested by (7). The detailed structure of the density inhomogeneities as well as the effects of radial apparent superluminal effects are evaluated within the EMBH model. Under the assumption that the energy distribution of emitted radiation is thermal in the comoving frame, time integrated spectra of EMBH model for prompt emission are computed. The induced supernova concept is applied to this system and general consequences on the astrophysical and cosmological scenario are derived.
https://doi.org/10.1142/9789812704030_0354
GRB 030329 is considered within the EMBH model. We determine the three free parameters and deduce its luminosity in given energy bands comparing it with the observations. The observed substructures are compared with the predictions of the model: by applying the result that substructures observed in the extended afterglow peak emission (E-APE) do indeed originate in the collision of the accelerated baryonic matter (ABM) pulse with the inhomogeneities in the interstellar medium around the black-hole, masks of density inhomogeneities are considered in order to reproduce the observed temporal substructures. The induced supernova concept is applied to this system and the general consequences that we are witnessing are the formation of a cosmological thriptych of a black hole originating the GRB 030329, the supernova SN2003dh and a young neutron star. Analogies to the system GRB 980425–SN1998bw are outlined.
https://doi.org/10.1142/9789812704030_0355
The γ-ray burst of 1997 February 28 is analyzed within the Electromagnetic Black Hole model. We first estimate the value of the total energy deposited in the dyadosphere, Edya, and the amount of baryonic matter left over by the EMBH progenitor star, B = MBc2/Edya. We then consider the role of the interstellar medium number density nISM and of the ratio R between the effective emitting area and the total surface area of the γ-ray burst source, in reproducing the prompt emission and the X-ray afterglow of this burst. Some considerations are also done concerning the possibility of explaining, within the theory, the observed evidence for a supernova in the optical afterglow.
https://doi.org/10.1142/9789812704030_0356
Swift is a next-generation, multi-wavelength observatory for transient gamma-ray astromomy. A NASA mission with an international collaboration, Swift is in development for launch in 2004. It is designed to make breakthroughs in determining the origin of gamma-ray bursts (GRBs) and in using GRBs to probe the early Universe. This mission features a wide-field, 15-150 keV, gamma ray imager that will detect over 100 GRBs per year of all durations and spectral types, including X-ray rich, and localize them with better than 4 arc-minute accuracy. Autonomous, on-board source localization will enable rapid reorientation of two narrow-field optical/UV and X-ray telescopes to determine arc-second source localizations and to perform optical, UV, and x-ray spectrophotometry. A strong outreach program and the afterglow campaigns should make possible great advances in the understanding of the early Universe.
https://doi.org/10.1142/9789812704030_bmatter
LIST OF PARTICIPANTS.
AUTHOR INDEX.
Sample Chapter(s)
Part A: Plenary and Review Talks
The Initial Value Problem Using Metric and Extrinsic Curvature (566k)
Part B: Plenary and Review Talks
The Largest Optical Telescopes: Today VLT; Tomorrow Owl. (951k)
Part C: Parallel Sessions
Numerical Simulation of General Relativistic Stellar Collapse (1,337k)