Existence of stable hairy black holes in su(2) Einstein-Yang-Mills theory with a negative cosmological constant
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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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Cited by 2 Pith papers
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Analytic proof that branch I of non-Abelian black holes with quartic interactions is linearly stable while branch II is unstable, based on the sign of the effective potential in even and odd perturbation sectors.
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Stable colored black holes with quartic self-interactions
Branch I of non-Abelian black holes with quartic self-interactions is linearly stable for all regular parameter values of the coupling χ.
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