Classical Yang-Mills black hole hair in anti-de Sitter space
Elizabeth Winstanley
TL;DR
This paper reviews the properties of stable hairy black holes in Einstein-Yang-Mills theory within anti-de Sitter space, highlighting recent findings that stable hair exists for any su(N) gauge group, with no upper limit.
Contribution
It demonstrates that stable black hole hair in anti-de Sitter space exists for su(N) gauge groups of arbitrary size, extending previous results limited to su(2).
Findings
Stable hair exists for su(2) in adS.
Recent work shows stable hair for su(N) for any N.
No upper limit on stable hair in adS black holes.
Abstract
The properties of hairy black holes in Einstein-Yang-Mills (EYM) theory are reviewed, focusing on spherically symmetric solutions. In particular, in asymptotically anti-de Sitter space (adS) stable black hole hair is known to exist for su(2) EYM. We review recent work in which it is shown that stable hair also exists in su(N) EYM for arbitrary N, so that there is no upper limit on how much stable hair a black hole in adS can possess.
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