Black Holes with Scalar Hair and Asymptotics in N = 8 Supergravity
Abstract
We consider Script 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 antide Sitter (AdS) symmetries. Each scalar admits a oneparameter family of AdSinvariant 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 oneparameter family of black holes with scalar hair. These solutions exist above a certain critical mass and are disconnected from the SchwarschildAdS black hole, which is a solution for all boundary conditions. We show the SchwarschildAdS 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 AdSinvariant boundary conditions can be incorporated in the AdS/CFT correspondence.
 Publication:

Journal of High Energy Physics
 Pub Date:
 July 2004
 DOI:
 10.1088/11266708/2004/07/051
 arXiv:
 arXiv:hepth/0404261
 Bibcode:
 2004JHEP...07..051H
 Keywords:

 AdSCFT and dSCFT Correspondence Black Holes Supergravity Models;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 32 pages, 10 figures