A scalar field condensation instability of rotating anti-de Sitter black holes

Details A scalar field condensation instability of rotating anti-de Sitter black holes A scalar field condensation instability of rotating anti-de Sitter black holes

2010-07-21

arxiv.org/abs/1007.3745v1

JHEP 1011:036,2010

Physics

High Energy Physics

High Energy Physics - Theory

34 pages; 13 figures

Scientific paper

10.1007/JHEP11(2010)036

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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