A Born-Infeld-like f(R) gravity

Abstract

Several features of an $f(R)$ 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.

arXiv commentLatex 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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• Isotropic universe with almost scale-invariant fourth-order gravity
• A class of simple bouncing and late-time accelerating cosmologies in f(R) gravity
• Notes on Born-Infeld-like modified gravity
• Logarithmic gravity model
• Born - Infeld-type modified gravity
• The CMB bispectrum from bouncing cosmologies