Is the semi-classical analysis valid for extreme black holes?
Abstract
The surface gravity for the extreme Reissner-Nordstr\"om 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.
Keywords
Cite
@article{arxiv.gr-qc/0306030,
title = {Is the semi-classical analysis valid for extreme black holes?},
author = {F. G. Alvarenga and A. B. Batista and J. C. Fabris and G. T. Marques},
journal= {arXiv preprint arXiv:gr-qc/0306030},
year = {2015}
}
Comments
Latex file, 10 pages. A new section was included. New title, new references and others minors modifications. To appear in Physics Letters A