The generalized second law imposes complementary bounds on the horizon entropy scaling k in phantom and quintessence regimes, selecting k=2 at a smooth phantom-divide crossing.
Cosmological entropy and generalized second law of thermodynamics in $F(R,G)$ theory of gravity
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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.
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The generalized second law as a thermodynamic selection criterion for dynamical dark energy
The generalized second law imposes complementary bounds on the horizon entropy scaling k in phantom and quintessence regimes, selecting k=2 at a smooth phantom-divide crossing.