Instability of sphaleron black holes in asymptotically anti-de Sitter space-time

Abstract

We prove that sphaleron black holes in $\mathfrak{su}(2)$ Einstein-Yang-Mills-Higgs theory with a Higgs doublet in four-dimensional, asymptotically anti-de Sitter space-time are unstable.

5 pages, no figures, references added, accepted for publication in Physics Letters B

References in corpus (1)

• Classical Yang-Mills black hole hair in anti-de Sitter space

Cited by in corpus (3)

• Solitons and hairy black holes in Einstein-non-Abelian-Proca theory in anti-de Sitter space-time
• Dirac Equation with Space Contributions Embedded in a Quantum-Corrected Gravitational Field
• Dyonic black holes in $\mathfrak{su}(\infty )$ anti-de Sitter Einstein-Yang-Mills theory, characterised by an infinite set of global charges