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

Abstract

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

Keywords

• Black hole
• Einstein–Yang–Mills–Higgs theory
• Anti-de Sitter space-time