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Generalized Hawking-Page Phase Transition

Parthasarathi Majumdar
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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.

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Parthasarathi Majumdar. 2007-01-01. Generalized Hawking-Page Phase Transition. https://doi.org/10.1088/0264-9381%2F24%2F7%2F005

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