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.

arXiv comment10 pages, minor changes, typos corrected, accepted for publication in Europhysics Letters

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• Generalized second law of thermodynamics in scalar-tensor gravity
• Late-time constraints on modified Gauss-Bonnet cosmology
• Tracing the cosmic history by Gauss-Bonnet gravity
• Spherically symmetric solution of $f(R,\mathcal{G})$ gravity at low energy
• Emergent Universe in the Braneworld Scenario
• Emergent Cosmos in Einstein-Cartan Theory
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• Isotropic universe with almost scale-invariant fourth-order gravity
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• Acceleration of the universe in matter dominant era by conformal symmetry breaking