2008/12/31 by Hari K. Kunduri, James Lucietti
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #gr-qc #hep-th
paper · pdf · doi:10.1088/0264-9381/26/5/055019
published as Class.Quant.Grav.26:055019,2009 · 18 pages, Latex. v2: footnote added on pg. 12. v3: assumption of non-toroidal horizon topology made explicit, minor clarifications
openalex publication_date 2009/02/17 · arxiv created 2009/07/09 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
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 AdS 4 black hole. Analogous results are presented in the case of a vanishing cosmological constant.