Selected Honourable Mentions from the Annual Essay Competition of the Gravity Research Foundation for the Year 2008No Access

NONLINEAR RESONANCE IN THE VERY EARLY UNIVERSE: SOUNDS OF THE PRIMORDIAL MUSIC

H. P. DE OLIVEIRA

Instituto de Física, Universidade do Estado do Rio de Janeiro, CEP 20550-013 Rio de Janeiro, RJ, Brazil

Search for more papers by this author

I. DAMIÃO SOARES

Centro Brasileiro de Pesquisas Físicas, Rua Dr. Xavier Sigaud 150, Urca, Rio de Janeiro CEP 22290-180-RJ, Brazil

Search for more papers by this author

, and

E. V. TONINI

Centro Federal de Educação Tecnológica do Espírito Santo, Avenida Vitória, 1729, Jucutuquara, Vitória CEP 29040-780-ES, Brazil

Search for more papers by this author

https://doi.org/10.1142/S0218271808013959Cited by:0 (Source: Crossref)

Abstract

Nonlinear resonance is ubiquitous in nature. Resonance is relevant to understanding phenomena in quite distinct areas such as music, cellular structure, and astrophysics, and in the very early universe. In order to see the crucial role played by resonance in cosmology, we assume that closed FRW universes with a massive inflaton field evolve according to the field equations that contain additional terms arising from high energy corrections to cosmological scenarios. As a consequence, nonsingular bounces in the early evolution of the universe are produced. We have shown that in narrow windows of the parameter space of the models, nonlinear resonance phenomena of KAM tori occur and lead to the destruction of those tori that trap the inflaton, resulting in the escape of the universe into inflation. These resonance windows are labeled by an integer n ≥ 2; n is related to the ratio of the frequencies in the scale factor/scalar field degrees of freedom.

This essay received an "honorable mention" in the 2008 Essay Competition of the Gravity Research Foundation.

You currently do not have access to the full text article.
Recommend the journal to your library today!

References

S. Carlip, Is quantum gravity necessary? [(gr-qc)] , arXiv:0803.3456v1 . Google Scholar
L. Randall and R. Sundrum, Phys. Rev. Lett. 83, 4690 (1999), DOI: 10.1103/PhysRevLett.83.4690. Crossref, Web of Science, ADS, Google Scholar
L. Randall and R. Sundrum, Phys. Rev. Lett. 83, 3370 (1999), DOI: 10.1103/PhysRevLett.83.3370. Crossref, Web of Science, ADS, Google Scholar
K. R. Dienes, Phys. Rep. 287, 447 (1997), DOI: 10.1016/S0370-1573(97)00009-4. Crossref, ADS, Google Scholar
M. Kaku , Strings, Conformal Fields and M-Theory ( Springer-Verlag , New York , 2000 ) . Crossref, Google Scholar
C. Rovelli, Living Rev. Rel. 1, 1 (1998). Crossref, Web of Science, Google Scholar
Yu. Shtanov and V. Sahni, Phys. Lett. B 557, 1 (2003). Crossref, Web of Science, ADS, Google Scholar
T. Shiromizu, K. Maeda and M. Sasaki, Phys. Rev. D 62, 024012 (2000), DOI: 10.1103/PhysRevD.62.024012. Crossref, Web of Science, Google Scholar
H. P. Oliveira, I. Dami ao Soares and E. V. Tonini, J. Cosmol. Astropart. Phys. 02, 015 (2006). Google Scholar
R. F. Aranhaet al., J. Cosmol. Astropart. Phys. 10, 008 (2007). ADS, Google Scholar
P. Peter and N. Pinto-Neto, Phys. Rev. D 66, 063509 (2002), DOI: 10.1103/PhysRevD.66.063509. Crossref, Web of Science, Google Scholar
A. N. Kolmogorov , Stochastic Behaviour in Classical and in Quantum Hamiltonian Systems , Lecture Notes in Physics 93 , eds. G. Casati and J. Ford ( Springer-Verlag , Berlin , 1979 ) . Google Scholar
V. I. Arnold, Russ. Math. Surv. 18, 9 (1963). Crossref, Google Scholar
J. Moser, Nachr. Akad. Wiss. Goett., Math.-Phys. Kl. IIa, 1 (1962). Google Scholar

Vol. 17, No. 13n14

Metrics

Downloaded 16 times

History

Received 19 May 2008

PDF download

System Upgrade on Tue, May 28th, 2024 at 2am (EDT)

NONLINEAR RESONANCE IN THE VERY EARLY UNIVERSE: SOUNDS OF THE PRIMORDIAL MUSIC

Abstract

Recommended