2007/01/01 by Parthasarathi Majumdar
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #gr-qc
paper · pdf · doi:10.1088/0264-9381/24/7/005
published as Class.Quant.Grav.24:1747-1754,2007 · 9 Pages, Latex with 2 eps figures
arxiv created 2007/01/01 · openalex publication_date 2007/03/13 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
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 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.