Near-horizon symmetries of extremal black holes

Hari K. Kunduri, James Lucietti, Harvey S. Reall

Research output: Contribution to journalArticlepeer-review

Abstract

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 languageEnglish
Pages (from-to)4169-4189
Number of pages21
JournalClassical and quantum gravity
Volume24
Issue number16
DOIs
Publication statusPublished - 21 Aug 2007

Keywords

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

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