The generalized second law of thermodynamics in generalized gravity theories

Abstract

We investigate the generalized second law of thermodynamics (GSL) in generalized theories of gravity. We examine the total entropy evolution with time including the horizon entropy, the non-equilibrium entropy production, and the entropy of all matter, field and energy components. We derive a universal condition to protect the generalized second law and study its validity in different gravity theories. In Einstein gravity, (even in the phantom-dominated universe with a Schwarzschild black hole), Lovelock gravity, and braneworld gravity, we show that the condition to keep the GSL can always be satisfied. In $f(R)$ gravity and scalar-tensor gravity, the condition to protect the GSL can also hold because the gravity is always attractive and the effective Newton constant should be approximate constant satisfying the experimental bounds.

19 pages, no figure, mistakes corrected, references added, to appear in Class. Quantum Grav

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• Thermodynamics in Modified Gravity Theories
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• Noether Current, Black Hole Entropy and Spacetime Torsion
• Quasilocal energy in modified gravity
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• Unruh--DeWitt detectors in spherically symmetric dynamical space-times
• Thermodynamics of Friedmann Equation and Masslike Function in General Braneworld
• Cosmological equations and Thermodynamics on Apparent Horizon in Thick Braneworld
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• Spacetime mappings of the Brown-York quasilocal energy
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• Thermodynamics of a Non-canonical $f(\bar{R},\bar{T})$ gravity
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• Generalized Second Law for Non-minimally Coupled Matter Theories
• Gravitational thermodynamics and universal holographic duality in dynamical spacetimes
• Evolution and thermodynamics of new holographic dark energy with bulk viscosity in modified $f(R,T)$ gravity