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Speaker |
Nozawa, Masato |
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Coauthors |
Faedo Federico; Klemm Dietmar |
| Talk Title |
Hairy black holes in N=2 supergravity |
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Abstract |
We construct black holes with scalar hair in a wide class of four-dimensional N=2 Fayet-Iliopoulos gauged supergravity that are characterized by a prepotential containing one free parameter. Our solution is static, admits maximally symmetric horizons, asymptotically tends to the AdS space corresponding to the extremum of superpotential, but is disconnected with the Schwarzschild-AdS family. When the hyperbolic horizon allows the extremal limit, it turns out that the near-horizon geometry is described by ${\rm AdS}_2\times H^2$, and the scalar field evolves to the another non-supersymmetric critical point of the potential. Our solution displays fall-off behaviors different from the standard one, due to the fact that the mass parameter at the SUSY vacuum is given by $m^2=-2\ell^{-2}$. Nevertheless, we identify a well-defined mass satisfying the 1st law. Our solution shows qualitatively the same thermodynamic behavior as the Schwarzschild-AdS black hole but the entropy is always smaller for a given mass and the AdS radius. We find that our spherical black hole is unstable against radial perturbations. |
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