The BPS limit of the newly constructed hairy black holes has zero entropy and a diverging scalar field, so no regular supersymmetric hairy black holes exist in this sector.
A scalar field condensation instability of rotating anti-de Sitter black holes
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abstract
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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Black-hole superradiance extracts energy via the ergoregion and can trigger instabilities with applications to dark matter, beyond-Standard-Model physics, and laboratory analogs.
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Charged Rotating Hairy Black Holes in AdS$_5 \times S^5$: Unveiling their Secrets
The BPS limit of the newly constructed hairy black holes has zero entropy and a diverging scalar field, so no regular supersymmetric hairy black holes exist in this sector.
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Superradiance -- the 2020 Edition
Black-hole superradiance extracts energy via the ergoregion and can trigger instabilities with applications to dark matter, beyond-Standard-Model physics, and laboratory analogs.
- Black hole spectroscopy: from theory to experiment