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

Abstract

We present new soliton and hairy black hole solutions of su(N) Einstein-Yang-Mills theory in asymptotically anti-de Sitter space. These solutions are described by N+1 independent parameters, and have N-1 gauge field degrees of freedom. We examine the space of solutions in detail for su(3) and su(4) solitons and black holes. If the magnitude of the cosmological constant is sufficiently large, we find solutions where all the gauge field functions have no zeros. These solutions are of particular interest because we anticipate that at least some of them will be linearly stable.

15 pages, 20 figures, minor changes, accepted for publication in Physical Review D

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• Einstein-Yang-Mills solutions in higher dimensional de Sitter spacetime
• Nonabelian solutions in AdS_4 and d=11 supergravity
• Features of gravity-Yang-Mills hierarchies in d-dimensions
• Nonabelian solutions in N=4, D=5 gauged supergravity
• Black strings and solitons in five dimensional space-time with positive cosmological constant

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• Static dilatonic black hole with nonlinear Maxwell and Yang-Mills fields of power-law type
• Non-Abelian fields in AdS${}_4$ spacetime: axially symmetric, composite configurations
• Black holes with $\mathfrak{su}(N)$ gauge field hair and superconducting horizons
• Analytic meronic black holes, gravitating solitons and higher spins in the Einstein $SU(N)$-Yang-Mills theory
• Static spherically symmetric black hole's solution in Einstein-Maxwell-Yang-Mills-dilaton theory
• On the existence of topological hairy black holes in $\mathfrak{su}(N)$ EYM theory with a negative cosmological constant