On Black Hole Scalar Hair in Asymptotically Anti de Sitter Spacetimes

Details On Black Hole Scalar Hair in Asymptotically Anti de Sitter Spacetimes On Black Hole Scalar Hair in Asymptotically Anti de Sitter Spacetimes

2002-07-18

arxiv.org/abs/gr-qc/0207069v2

Phys.Rev. D67 (2003) 024038

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages. Published version

Scientific paper

10.1103/PhysRevD.67.024038

The unexpected discovery of hairy black hole solutions in theories with scalar fields simply by considering asymptotically Anti de-Sitter, 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 becomes unstable in some of these situations, and the possible relevance of this fact for the ADS/CFT conjecture is pointed out.

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