### Abstract

We consider N = 8 gauged supergravity in D = 4 and D = 5. We show one can weaken the boundary conditions on the metric and on all scalars with m ^{2} < -(D-1)^{2}/4 - 1 while preserving the asymptotic anti-de Sitter (AdS) symmetries. Each scalar admits a oneparameter family of AdS-invariant boundary conditions for which the metric falls off slower than usual. The generators of the asymptotic symmetries are finite, but generically acquire a contribution from the scalars. For a large class of boundary conditions we numerically find a one-parameter family of black holes with scalar hair. These solutions exist above a certain critical mass and are disconnected from the Schwarschild-AdS black hole, which is a solution for all boundary conditions. We show the Schwarschild-AdS black hole has larger entropy than a hairy black hole of the same mass. The hairy black holes lift to inhomogeneous black brane solutions in ten or eleven dimensions. We briefly discuss how generalized AdS-invariant boundary conditions can be incorporated in the AdS/CFT correspondence.

Original language | English |
---|---|

Pages (from-to) | 1241-1265 |

Number of pages | 25 |

Journal | Journal of High Energy Physics |

Volume | 8 |

Issue number | 7 |

Publication status | Published - 2004 Jul 1 |

Externally published | Yes |

### Fingerprint

### Keywords

- AdS-CFT and dS-CFT Correspondence
- Black Holes
- Supergravity Models

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Journal of High Energy Physics*,

*8*(7), 1241-1265.

**Black holes with scalar hair and asymptotics in A = 8 supergravity.** / Hertog, Thomas; Maeda, Kengo.

Research output: Contribution to journal › Article

*Journal of High Energy Physics*, vol. 8, no. 7, pp. 1241-1265.

}

TY - JOUR

T1 - Black holes with scalar hair and asymptotics in A = 8 supergravity

AU - Hertog, Thomas

AU - Maeda, Kengo

PY - 2004/7/1

Y1 - 2004/7/1

N2 - We consider N = 8 gauged supergravity in D = 4 and D = 5. We show one can weaken the boundary conditions on the metric and on all scalars with m 2 < -(D-1)2/4 - 1 while preserving the asymptotic anti-de Sitter (AdS) symmetries. Each scalar admits a oneparameter family of AdS-invariant boundary conditions for which the metric falls off slower than usual. The generators of the asymptotic symmetries are finite, but generically acquire a contribution from the scalars. For a large class of boundary conditions we numerically find a one-parameter family of black holes with scalar hair. These solutions exist above a certain critical mass and are disconnected from the Schwarschild-AdS black hole, which is a solution for all boundary conditions. We show the Schwarschild-AdS black hole has larger entropy than a hairy black hole of the same mass. The hairy black holes lift to inhomogeneous black brane solutions in ten or eleven dimensions. We briefly discuss how generalized AdS-invariant boundary conditions can be incorporated in the AdS/CFT correspondence.

AB - We consider N = 8 gauged supergravity in D = 4 and D = 5. We show one can weaken the boundary conditions on the metric and on all scalars with m 2 < -(D-1)2/4 - 1 while preserving the asymptotic anti-de Sitter (AdS) symmetries. Each scalar admits a oneparameter family of AdS-invariant boundary conditions for which the metric falls off slower than usual. The generators of the asymptotic symmetries are finite, but generically acquire a contribution from the scalars. For a large class of boundary conditions we numerically find a one-parameter family of black holes with scalar hair. These solutions exist above a certain critical mass and are disconnected from the Schwarschild-AdS black hole, which is a solution for all boundary conditions. We show the Schwarschild-AdS black hole has larger entropy than a hairy black hole of the same mass. The hairy black holes lift to inhomogeneous black brane solutions in ten or eleven dimensions. We briefly discuss how generalized AdS-invariant boundary conditions can be incorporated in the AdS/CFT correspondence.

KW - AdS-CFT and dS-CFT Correspondence

KW - Black Holes

KW - Supergravity Models

UR - http://www.scopus.com/inward/record.url?scp=22544475754&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=22544475754&partnerID=8YFLogxK

M3 - Article

VL - 8

SP - 1241

EP - 1265

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 7

ER -