Generalized Hawking-Page Phase Transition
General Relativity and Quantum Cosmology
2008-11-26 v1
Abstract
The issue of radiant spherical black holes being in stable thermal equilibrium with their radiation bath is reconsidered. Using a simple equilibrium statistical mechanical analysis incorporating Gaussian thermal fluctuations in a canonical ensemble of isolated horizons, the heat capacity is shown to diverge at a critical value of the classical mass of the isolated horizon, given (in Planckian units) by the {\it microcanonical} entropy calculated using Loop Quantum Gravity. The analysis reproduces the Hawking-Page phase transition discerned for anti-de Sitter black holes and generalizes it in the sense that nowhere is any classical metric made use of.
Cite
@article{arxiv.gr-qc/0701014,
title = {Generalized Hawking-Page Phase Transition},
author = {Parthasarathi Majumdar},
journal= {arXiv preprint arXiv:gr-qc/0701014},
year = {2008}
}
Comments
9 Pages, Latex with 2 eps figures