Cosmological entropy and generalized second law of thermodynamics in $F(R,G)$ theory of gravity

Abstract

We consider a spatially flat Friedmann-Lemaitre-Robertson-Walker space time and investigate the second law and the generalized second law of thermodynamics for apparent horizon in generalized modified Gauss Bonnet theory of gravity (whose action contains a general function of Gauss Bonnet invariant and the Ricci scalar: $F(R,G)$). By assuming that the apparent horizon is in thermal equilibrium with the matter inside it, conditions which must be satisfied by $F(R,G)$ are derived and elucidated through two examples: a quasi-de Sitter space-time and a universe with power law expansion.

10 pages, minor changes, typos corrected, accepted for publication in Europhysics Letters

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• Extreme neutron stars from Extended Theories of Gravity
• Noether Symmetry Approach in Gauss-Bonnet Cosmology
• Generalized Second Law of Thermodynamics in $f(T)$ Gravity with Entropy Corrections
• Late-time constraints on modified Gauss-Bonnet cosmology
• Tracing the cosmic history by Gauss-Bonnet gravity