Abundant stable gauge field hair for black holes in anti-de Sitter space

Abstract

We present new hairy black hole solutions of su(N) Einstein-Yang-Mills theory (EYM) in asymptotically anti-de Sitter (adS) space. These black holes are described by N+1 independent parameters, and have N-1 independent gauge field degrees of freedom. Solutions in which all gauge field functions have no zeros exist for all N, and for sufficiently large (and negative) cosmological constant. At least some of these solutions are shown to be stable under classical, linear, spherically symmetric perturbations. Therefore there is no upper bound on the amount of stable gauge field hair with which a black hole in adS can be endowed.

arXiv comment4 pages, 3 figures, new introduction, additional minor changes, published in Physical Review Letters

References in corpus (8)

• Gravitating Non-Abelian Solitons and Black Holes with Yang-Mills Fields
• Black Holes with Scalar Hair and Asymptotics in N=8 Supergravity
• M-Fivebranes Wrapped on Supersymmetric Cycles
• Existence of stable hairy black holes in su(2) Einstein-Yang-Mills theory with a negative cosmological constant
• Monopoles, Dyons and Black Holes in the Four-Dimensional Einstein-Yang-Mills Theory
• Stable monopole and dyon solutions in the Einstein-Yang-Mills theory in asymptotically anti-de Sitter Space
• Instability Proof for Einstein-Yang-Mills Solitons and Black Holes with Arbitrary Gauge Groups
• Soliton and black hole solutions of su(N) Einstein-Yang-Mills theory in anti-de Sitter space

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