A Proof of the Generalized Second Law for Two-Dimensional Black Holes
Abstract
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.
Keywords
Cite
@article{arxiv.gr-qc/0103059,
title = {A Proof of the Generalized Second Law for Two-Dimensional Black Holes},
author = {Jeongwon Ho},
journal= {arXiv preprint arXiv:gr-qc/0103059},
year = {2009}
}
Comments
15 pages, boundary condition of static black hole is added to clarify the situation, abstract and section 4 (concluding remarks) is rewritten, and minor corrections, references added