Uniqueness of near-horizon geometries of rotating extremal AdS(4) black holes
Dec, 200818 pages
Published in:
- Class.Quant.Grav. 26 (2009) 055019
e-Print:
- 0812.1576 [hep-th]
Report number:
- DAMTP-2008-114,
- DCPT-08-67
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Abstract: (arXiv)
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 vanishing cosmological constant.- Einstein-Maxwell equation: solution
- cosmological constant: negative
- symmetry: axial
- black hole: anti-de Sitter
- supersymmetry
- black hole: rotation
- entropy
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