Cosmological entropy and generalized second law of thermodynamics in the F(R, G) theory of gravity
Department of Physics, University of Tehran - P.O.B. 14395-547, Tehran, Iran
Accepted: 22 November 2010
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 the generalized modified Gauss-Bonnet theory of gravity (whose action contains a general function of the 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.
PACS: 04.50.Kd – Modified theories of gravity
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