Existence of stable hairy black holes in su(2) Einstein-Yang-Mills theory with a negative cosmological constant

Abstract

We consider black holes in EYM theory with a negative cosmological constant. The solutions obtained are somewhat different from those for which the cosmological constant is either positive or zero. Firstly, regular black hole solutions exist for continuous intervals of the parameter space, rather than discrete points. Secondly, there are non-trivial solutions in which the gauge field has no nodes. We show that these solutions are linearly stable.

22 pages, 10 figures (1 ps file), LaTeX2e, uses amssymb, graphicx Minor changes, version to appear in Classical and Quantum Gravity

References in corpus (3)

• Rotation and the AdS/CFT correspondence
• No-scalar hair conjecture in asymptotic de-Sitter spacetime
• Existence Theorems for Hairy Black Holes in su(N) Einstein-Yang-Mills theories

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