Uniqueness of near-horizon geometries of rotating extremal AdS(4) black holes

Hari K. Kunduri, James Lucietti

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

We consider stationary extremal black hole solutions of the Einstein-Maxwell equations with a negative cosmological constant in four dimensions. We determine all non-static axisymmetric near-horizon geometries and all static near-horizon geometries for black holes of this kind. This allows us to deduce that the most general near-horizon geometry of an asymptotically globally AdS(4) rotating extremal black hole is the near-horizon limit of extremal Kerr Newman -AdS(4). We also identify the subset of near-horizon geometries which are supersymmetric. Finally, we show which physical quantities of extremal black holes may be computed from the near-horizon limit alone, and point out a simple formula for the entropy of the known supersymmetric AdS4 black hole. Analogous results are presented in the case of a vanishing cosmological constant.

Original languageEnglish
Article number055019
Pages (from-to)-
Number of pages19
JournalClassical and quantum gravity
Volume26
Issue number5
DOIs
Publication statusPublished - 7 Mar 2009

Keywords / Materials (for Non-textual outputs)

  • SUPERGRAVITY
  • SUPERSYMMETRY
  • Extremal black holes
  • Anti de Sitter space
  • Exact solutions

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