Uniqueness of zero surface gravity SU(2) Einstein–Yang/Mills black holes

In this paper we prove that the only spherically symmetric black hole solution to the SU(2) Einstein–Yang/Mills equations that has zero temperature at the event horizon is the extreme Reissner–Nordström solution. No assumptions are made on the signs of the metric coefficients, save that the metric h...

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Bibliographic Details
Published in:Journal of mathematical physics 1996-03, Vol.37 (3), p.1461-1484
Main Authors: Smoller, J. A., Wasserman, A. G.
Format: Article
Language:English
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Summary:In this paper we prove that the only spherically symmetric black hole solution to the SU(2) Einstein–Yang/Mills equations that has zero temperature at the event horizon is the extreme Reissner–Nordström solution. No assumptions are made on the signs of the metric coefficients, save that the metric has Lorentz signature.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.531444