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.

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

References in corpus (1)

• Soliton and black hole solutions of su(N) Einstein-Yang-Mills theory in anti-de Sitter space

Cited by in corpus (5)

• Classical Yang-Mills black hole hair in anti-de Sitter space
• On the existence of soliton and hairy black hole solutions of su(N) Einstein-Yang-Mills theory with a negative cosmological constant
• Non-Abelian fields in AdS${}_4$ spacetime: axially symmetric, composite configurations
• Black holes with $\mathfrak{su}(N)$ gauge field hair and superconducting horizons
• On the existence of topological hairy black holes in $\mathfrak{su}(N)$ EYM theory with a negative cosmological constant