## Abstract / Description of output

Recent work has demonstrated an attractor mechanism for extremal rotating black holes subject to the assumption of a near-horizon SO(2, 1) symmetry. We prove the existence of this symmetry for any extremal black hole with the same number of rotational symmetries as known four- and five-dimensional solutions (including black rings). The result is valid for a general two-derivative theory of gravity coupled to Abelian vectors and uncharged scalars, allowing for a non-trivial scalar potential. We prove that it remains valid in the presence of higher-derivative corrections. We show that SO(2, 1)-symmetric near-horizon solutions can be analytically continued to give SU(2)-symmetric black hole solutions. For example, the near-horizon limit of an extremal 5D Myers - Perry black hole is related by analytic continuation to a non-extremal cohomogeneity-1 Myers - Perry solution.

Original language | English |
---|---|

Pages (from-to) | 4169-4189 |

Number of pages | 21 |

Journal | Classical and quantum gravity |

Volume | 24 |

Issue number | 16 |

DOIs | |

Publication status | Published - 21 Aug 2007 |

## Keywords / Materials (for Non-textual outputs)

- EXTREMAL BLACK-HOLES
- Black Holes in String Theory
- SYMMETRY