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

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

2007-08-17

arxiv.org/abs/0708.2357v2

Phys.Rev.D76:104017,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1103/PhysRevD.76.104017

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.

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