期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 11, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP11(2010)036
关键词
Black Holes; AdS-CFT Correspondence
资金
- European Community through the Intra-European Marie Curie [PIEF-GA-2008-220197]
- FCT-Portugal [PTDC/FIS/099293/2008, CERN/FP/83508/2008, CERN/FP/109306/2009]
- Science and Technology Facilities Council [ST/F002998/1] Funding Source: researchfish
- STFC [ST/F002998/1] Funding Source: UKRI
Near-extreme Reissner-Nordstrom-anti-de Sitter black holes are unstable against the condensation of an uncharged scalar field with mass close to the Breitenlohner-Freedman bound. It is shown that a similar instability afflicts near-extreme large rotating AdS black holes, and near-extreme hyperbolic Schwarzschild-AdS black holes. The resulting nonlinear hairy black hole solutions are determined numerically. Some stability results for (possibly charged) scalar fields in black hole backgrounds are proved. For most of the extreme black holes we consider, these demonstrate stability if the effective mass respects the near-horizon BF bound. Small spherical Reissner-Nordstrom-AdS black holes are an interesting exception to this result.
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