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arXiv · 1106.5179

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

Mikhail M. Ivanov·Alexey V. Toporensky
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Abstract

We consider cosmological dynamics in fourth order gravity with both $f(R)$ and $Φ(\mathcal {G})$ 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 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 $f$ and $Φ$.

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Mikhail M. Ivanov, Alexey V. Toporensky. 2012-05-07. Cosmological dynamics of fourth order gravity with a Gauss-Bonnet term. https://doi.org/10.1134/s0202289312010100

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