Charged Quantum Black Holes : Thermal Stability Criterion

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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14 pages Latex2e, no figures

Scientific paper

A criterion of thermal stability is derived for electrically charged {\it quantum} black holes having large horizon area (compared to Planck area), as an inequality between the mass of the black hole and its microcanonical entropy. The derivation is based on key results of Loop Quantum Gravity and the grand canonical ensemble of equilibrium statistical mechanics, with Gaussian fluctuations around an equilibrium thermal configuration assumed here to be a quantum {\it isolated} horizon. No aspect of classical black hole geometry is used in deducing the stability criterion, even though it is {\it tested} against known charged black hole solutions as a fiducial check. The equilibrium Hawking temperature is shown to have an additional quantum correction over the semiclassical value. We also discuss the validity of the saddle point approximation used to incorporate thermal fluctuations.

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