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TMF, 2012 Volume 170, Number 1, Pages 87–101 (Mi tmf6747)

Classical analogue of a quantum Schwarzschild black hole: “Standard model” and beyond

V. A. Berezin

Institute for Nuclear Research, RAS, Moscow, Russia

Abstract: We build a model in which the main global properties of classical and semiclassical black holes become local: these are the event horizon, “no-hair”, temperature, and entropy. Our construction is based on the features of a quantum collapse, discovered when studying some particular quantum black hole models. But our model is purely classical, and this allows using the Einstein equations and classical (local) thermodynamics self-consistently and, in particular, solving the "puzzle of $\ln 3$".

Keywords: quantum black hole, thermodynamics, quasinormal frequency.

Received: 19.01.2012

DOI: 10.4213/tmf6747


 English version:
Theoretical and Mathematical Physics, 2012, 170:1, 71–82

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