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

Abstract

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 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 $\Phi$.

published version, references updated

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• Generalized Logarithmic Equation of State in Classical and Loop Quantum Cosmology Dark Energy-Dark Matter Coupled Systems
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