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On Black Hole Scalar Hair in Asymptotically Anti de Sitter Spacetimes

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arxiv gr-qc/0207069 v2 pith:2UFURB5J submitted 2002-07-18 gr-qc

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keywords antiasymptoticallyblackholescalarsittersituationsanalyzed
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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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