Near-horizon symmetries of extremal black holes

Details Near-horizon symmetries of extremal black holes Near-horizon symmetries of extremal black holes

2007-05-29

arxiv.org/abs/0705.4214v3

Class.Quant.Grav.24:4169-4190,2007

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, latex. v2: minor improvements v3: Corrected error in argument excluding de Sitter and Poincare-symmetric cases. Resu

Scientific paper

10.1088/0264-9381/24/16/012

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.

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