Is the semi-classical analysis valid for extreme black holes?
arXiv:gr-qc/0306030 · doi:10.1016/j.physleta.2003.11.010
Abstract
The surface gravity for the extreme Reissner-Nordström black hole is zero suggesting that it has a zero temperature. However, the direct evaluation of the Bogolubov's coefficients, using the standard semi-classical analysis, indicates that the temperature of the extreme black hole is ill definite: the Bogolubov's coefficients obtained by performing the usual analysis of a collapsing model of a thin shell, and employing the geometrical optical approximation, do not obey the normalization conditions. We argue that the failure of the employement of semi-classical analysis for the extreme black hole is due to the absence of orthonormal quantum modes in the vicinity of the event horizon in this particular case.
Latex file, 10 pages. A new section was included. New title, new references and others minors modifications. To appear in Physics Letters A
References in corpus (5)
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- Quantum modes around a scalar-tensor black hole: breakdown of the normalization conditions
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