Generalized Hawking-Page Phase Transition
arXiv:gr-qc/0701014 · doi:10.1088/0264-9381/24/7/005
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.
9 Pages, Latex with 2 eps figures
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- Quantum Hairs and Entropy of Quantum Isolated Horizon from Chern-Simons Theory
- Thermal Stability Of Charged Rotating Quantum Black Holes
- Thermal stability of black holes with arbitrary hairs
- Thermal Fluctuations And Correlations Among Hairs Of Stable Quantum ADS Kerr-Newman Black Hole
- Holography, Gauge-Gravity Connection and Black Hole Entropy
- Microscopic black hole and uncertainty principle with minimal length and momentum
- Thermodynamics of Quantum Isolated Horizons with model Hamiltonians
- Stability of Quantum Isolated Horizon : A Local Observer's View
- Thermodynamic partition function from quantum theory for black hole horizons in loop quantum gravity