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arXiv · 0809.5247

Dynamics of f(R)-cosmologies containing Einstein static models

Naureen Goheer·Rituparno Goswami·Peter K. S. Dunsby
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Abstract

We study the dynamics of homogeneous isotropic FRW cosmologies with positive spatial curvature in $f(R)$-gravity, paying special attention to the existence of Einstein static models and only study forms of $f(R)=R^n$ for which these static models have been shown to exist. We construct a compact state space and identify past and future attractors of the system and recover a previously discovered future attractor corresponding to an expanding accelerating model. We also discuss the existence of universes which have both a past and future bounce, a phenomenon which is absent in General Relativity.

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Naureen Goheer, Rituparno Goswami, Peter K. S. Dunsby. 2008-09-30. Dynamics of f(R)-cosmologies containing Einstein static models. https://doi.org/10.1088/0264-9381%2F26%2F10%2F105003

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