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 language | English |
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Article number | 055019 |
Pages (from-to) | - |
Number of pages | 19 |
Journal | Classical and quantum gravity |
Volume | 26 |
Issue number | 5 |
DOIs | |
Publication status | Published - 7 Mar 2009 |
Keywords / Materials (for Non-textual outputs)
- SUPERGRAVITY
- SUPERSYMMETRY
- Extremal black holes
- Anti de Sitter space
- Exact solutions