Background cosmological dynamics in $f(R)$ gravity and observational constraints

Abstract

In this paper, we carry out a study of viable cosmological models in $f(R)$-gravity at the background level. We use observable parameters like $\Omega$ and $\gamma$ to form autonomous system of equations and show that the models under consideration exhibit two different regimes in their time evolution, namely, a phantom phase followed by a quintessence like behavior. We employ statefinder parameters to emphasize a characteristic discriminative signature of these models.

6 pages, Latex style, 9 eps figures, replaced versions with new references added, Submitted to Phys.Rev.D

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