Generalized Second Law of Thermodynamics in Extended Theories of Gravity

Abstract

By employing the general expression of temperature $T_h=|\kappa |/2\pi =\frac{1}{2\pi {\tilde{r}}_A}(1-\frac{{\dot{\tilde{r}}}_A}{2H{\tilde{r}}_A})$ associated with the apparent horizon of a FRW universe and assuming a region of FRW universe enclosed by the apparent horizon as a thermal system in equilibrium, we are able to show that the generalized second law of thermodynamics holds in Gauss-Bonnet gravity and in more general Lovelock gravity.

10 pages

References in corpus (12)

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Cited by in corpus (6)

• Thermodynamics of apparent horizon and modified Friedman equations
• Generalized second law of thermodynamics for FRW cosmology with logarithmic correction
• Barrow's black hole entropy and the equipartition theorem
• Generalized second law of thermodynamics in modified FRW cosmology with corrected entropy-area relation
• On thermodynamics second law in the modified Gauss Bonnet gravity
• Thermodynamical aspects of modified holographic dark energy model