Uniqueness of extreme horizons in Einstein-Yang-Mills theory
High Energy Physics - Theory
2013-04-23 v1 General Relativity and Quantum Cosmology
Abstract
We consider stationary extreme black hole solutions to the Einstein-Yang-Mills equations in four dimensions, allowing for a negative cosmological constant. We prove that any axisymmetric black hole of this kind possesses a near-horizon AdS(2) symmetry and deduce its near-horizon geometry must be that of the abelian embedded extreme Kerr-Newman (AdS) black hole. We also show that the near-horizon geometry of any static black hole is a direct product of AdS(2) and a constant curvature space.
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Cite
@article{arxiv.1302.4616,
title = {Uniqueness of extreme horizons in Einstein-Yang-Mills theory},
author = {Carmen Li and James Lucietti},
journal= {arXiv preprint arXiv:1302.4616},
year = {2013}
}
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12 pages