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## 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.

Original language | English |
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Journal | Classical and quantum gravity |

Volume | 30 |

Issue number | 9 |

DOIs | |

Publication status | Published - 19 Apr 2013 |

## Keywords

- hep-th
- gr-qc

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Dive into the research topics of 'Uniqueness of extreme horizons in Einstein-Yang-Mills theory'. Together they form a unique fingerprint.## Projects

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