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.
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Sudarsky et al. (2003) studied this question.
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