Existence of stable hairy black holes in su(2) Einstein-Yang-Mills theory with a negative cosmological constant

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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22 pages, 10 figures (1 ps file), LaTeX2e, uses amssymb, graphicx Minor changes, version to appear in Classical and Quantum Gr

Scientific paper

10.1088/0264-9381/16/6/325

We consider black holes in EYM theory with a negative cosmological constant. The solutions obtained are somewhat different from those for which the cosmological constant is either positive or zero. Firstly, regular black hole solutions exist for continuous intervals of the parameter space, rather than discrete points. Secondly, there are non-trivial solutions in which the gauge field has no nodes. We show that these solutions are linearly stable.

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