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

TL;DR

This paper demonstrates the existence of stable hairy black hole solutions in SU(2) Einstein-Yang-Mills theory with a negative cosmological constant, highlighting differences from other cosmological constant cases.

Contribution

It establishes the existence of continuous parameter space solutions and non-trivial, node-less gauge field solutions that are linearly stable in this setting.

Findings

Regular black hole solutions form continuous parameter intervals.

Existence of non-trivial, node-less gauge field solutions.

These solutions are linearly stable.

Abstract

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.