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Paper detail

Is the semi-classical analysis valid for extreme black holes?

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.

preprint2003arXivOpen access
F. G. AlvarengaA. B. BatistaJ. C. FabrisG. T. Marques
gr-qchep-th
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F. G. AlvarengaA. B. BatistaJ. C. FabrisG. T. Marques

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