English

A Born-Infeld-like f(R) gravity

General Relativity and Quantum Cosmology 2013-01-08 v3 Cosmology and Nongalactic Astrophysics High Energy Physics - Theory

Abstract

Several features of an f(R)f(R) theory in which there is a maximum value for the curvature are analyzed. The theory admits the vaccuum solutions of GR, and also the radiation evolution for the scale factor of the standard cosmological model. Working in the Jordan frame, a complete analysis of the phase space is performed, and its results supported with examples obtainted by numerical integration. In particular, we showed that theory has nonsingular cosmological solutions which after the bounce enter a phase of de Sitter expansion and subsequently relax to a GR-like radiation-dominated evolution.

Keywords

Cite

@article{arxiv.1205.3458,
  title  = {A Born-Infeld-like f(R) gravity},
  author = {J. C. Fabris and R. S. Perez and S. E. Perez Bergliaffa and N. Pinto-Neto},
  journal= {arXiv preprint arXiv:1205.3458},
  year   = {2013}
}

Comments

Latex file, 14 pages, 7 figures (jpg format), including more detailed discussions than previous version, accepted for publication in Physical Review D

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