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Current Topics in Mathematical Cosmology cover

In this volume, current topics from classical large scale models to quantum gravity effects in the mathematical formulation of physically motivated cosmological theories are discussed. There are contributions dealing with topics such as the singularity theorem, the cosmic no-hair theorem and other results related to the big bang and the inflationary cosmological models. Also discussed are non-standard themes like field equations of order higher than 2, space–times of dimension different from 4, relating also to current generalizations of string theory, and some issues in quantum cosmology.


Contents:
  • General Relativity and Gauge Gravity Theories of Higher Order (N P Konopleva)
  • The Effective Cosmological Constant in Higher Order Gravity Theories (S Capozziello et al.)
  • Nonsingular Cosmological Models (W Petry)
  • Singularity Theorems and Inhomogeneous Cosmological Models (J M M Senovilla)
  • Renormalization Group Approach in Newtonian Cosmology (K Maeda et al.)
  • The Limiting Curvature Hypothesis: Towards a Theory of Gravity Without Singularities (Y I Anini)
  • Quantum Gravity and Dust Matter (U Kasper)
  • On a Theorem of Ashtekar and Lewandowski (H Baumgärtel)
  • Quantization of Singular Systems and Incomplete Motions (N P Landsman)
  • Branes and Wormholes (K A Bronnikov)
  • Novel Instability in Superstring Cosmology (J Soda et al.)
  • Decoherence and Time Emergence (A Camacho)
  • Alternative Lagrangians for Einstein Metrics (A Borowiec & M Francaviglia)
  • Distributional Approach to Signature Change (R Mansouri & K Nozari)
  • Extremely Charged Static Dust Distributions in General Relativity (M Gürses)
  • The Thermal Bath of Topology Fluctuations (L J Garay)
  • and other papers

Readership: Researchers in mathematical physics, astronomy, astrophysics, cosmology and general relativity theory.