Cosmological dynamics of fourth order gravity with a Gauss-Bonnet term

preprint2012arXivOpen access

Abstract

We consider cosmological dynamics in fourth order gravity with both f(R)f(R) and Φ(G)Φ(\mathcal {G}) correction to the Einstein gravity (G\mathcal{G} is the Gauss-Bonnet term). The particular case for which both terms are equally important on power-law solutions is described. These solutions and their stability are studied using the dynamical system approach. We also discuss condition of existence and stability of de Sitter solution in a more general situation of power-law ff and ΦΦ.

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