Cosmological dynamics of fourth order gravity with Gauss-Bonnet term

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

2011-06-25

arxiv.org/abs/1106.5179v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages with 3 figures, small improvement in presentation, typos corrected

Scientific paper

We consider cosmological dynamics in fourth order gravity with both $f(R)$ and $\Phi(\mathcal {G})$ correction to the Einstein gravity ($\mathcal{G}$ 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 have been 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 $f$ and $\Phi$.

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