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Phys. Rev. D 67, 024038 (2003) [5 pages]

Black hole scalar hair in asymptotically anti–de Sitter spacetimes

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Daniel Sudarsky*
Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Apartado Postal 70-543, México D.F. 04510, México
Center for Gravitational Physics and Geometry, Department of Physics, Penn State University, University Park, Pennsylvania 16802

José Antonio González
Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Apartado Postal 70-543, México D.F. 04510, México

Received 3 September 2002; published 31 January 2003

The unexpected discovery of hairy black hole solutions in theories with scalar fields simply by considering asymptotically anti–de Sitter (AdS) space, rather than asymptotically flat boundary conditions is analyzed in a way that exhibits in a clear manner the differences between the two situations. It is shown that the trivial Schwarzschild–anti–de Sitter space becomes unstable in some of these situations, and the possible relevance of this fact for the AdS conformal field theory conjecture is pointed out.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.67.024038
DOI:
10.1103/PhysRevD.67.024038
PACS:
04.70.Bw

*Electronic address: sudarsky@nuclecu.unam.mx

Electronic address: cervera@nuclecu.unam.mx