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

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

2007-08-17

arxiv.org/abs/0708.2356v2

Phys.Rev.Lett.100:011301,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1103/PhysRevLett.100.011301

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.

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