A Proof of the Generalized Second Law for Two-Dimensional Black Holes

Details A Proof of the Generalized Second Law for Two-Dimensional Black Holes A Proof of the Generalized Second Law for Two-Dimensional Black Holes

2001-03-16

arxiv.org/abs/gr-qc/0103059v2

Phys.Rev. D64 (2001) 064019

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, boundary condition of static black hole is added to clarify the situation, abstract and section 4 (concluding remark

Scientific paper

10.1103/PhysRevD.64.064019

We investigate the generalized second law for two-dimensional black holes in equilibrium (Hartle-Hawking) and nonequilibrium (Unruh) with the heat bath surrounding the black holes. We obtain a simple expression for the change of total entropy in terms of covariant thermodynamic variables, which is valid not only for the Hartle-Hawking state but also for the Unruh state up to leading order, without assuming a quasi-stationary evolution of the black holes. Using this expression, it is shown that the rate of local entropy production is non-negative in the two-dimensional black hole systems.

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