The generalized second law of thermodynamics in generalized gravity theories

Details The generalized second law of thermodynamics in generalized gravity theories The generalized second law of thermodynamics in generalized gravity theories

2008-01-17

arxiv.org/abs/0801.2688v4

Class.Quant.Grav.25:235018,2008

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1088/0264-9381/25/23/235018

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.

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