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.

arXiv comment10 pages

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Cited by in corpus (16)

• Modified Friedmann Equations from Tsallis Entropy
• Thermodynamics of apparent horizon and modified Friedman equations
• The generalized second law of thermodynamics with Barrow entropy
• Thermodynamics in $f(R)$ gravity in the Palatini formalism
• Generalized second law of thermodynamics for FRW cosmology with logarithmic correction
• Generalized second law of thermodynamics in f(R,T) theory of gravity
• Barrow's black hole entropy and the equipartition theorem
• Apparent horizon and gravitational thermodynamics of the Universe: Solutions to the temperature and entropy confusions, and extensions to modified gravity
• Generalized second law of thermodynamics in modified FRW cosmology with corrected entropy-area relation
• On thermodynamics second law in the modified Gauss Bonnet gravity
• Emergent Universe in the Braneworld Scenario
• Thermodynamics of Evolving Lorentzian Wormhole at Apparent and Event Horizons
• Emergent Cosmos in Einstein-Cartan Theory
• On solutions of loop quantum cosmology
• Holographic Ricci dark energy and generalized second law
• Thermodynamical aspects of modified holographic dark energy model