On the stability of dyons and dyonic black holes in Einstein-Yang-Mills theory

Abstract

We investigate the stability of four-dimensional dyonic soliton and black hole solutions of $\mathfrak{su}(2)$ Einstein-Yang-Mills theory in anti-de Sitter space. We prove that, in a neighbourhood of the embedded trivial (Schwarzschild-)anti-de Sitter solution, there exist non-trivial dyonic soliton and black hole solutions of the field equations which are stable under linear, spherically symmetric, perturbations of the metric and non-Abelian gauge field.

27 pages, 6 figures, minor changes, matches version published in Classical and Quantum Gravity

References in corpus (11)

• Colorful horizons with charge in anti-de Sitter space
• Fermion correlators in non-abelian holographic superconductors
• Phase transitions in a holographic s+p model with backreaction
• Classical Yang-Mills black hole hair in anti-de Sitter space
• Soliton and black hole solutions of su(N) Einstein-Yang-Mills theory in anti-de Sitter space
• Abundant stable gauge field hair for black holes in anti-de Sitter space
• On the existence of soliton and hairy black hole solutions of su(N) Einstein-Yang-Mills theory with a negative cosmological constant
• Charged Black Holes in Colored Lifshitz Spacetimes
• Linear Resistivity from Non-Abelian Black Holes
• On the stability of soliton and hairy black hole solutions of $\mathfrak{su}(N)$ Einstein-Yang-Mills theory with a negative cosmological constant
• Stable topological hairy black holes in $\mathfrak{su}(N)$ EYM theory with $\Lambda <0$

Cited by in corpus (9)

• Stability of gravitating charged-scalar solitons in a cavity
• Dyons and dyonic black holes in $\mathfrak{su}(N)$ Einstein-Yang-Mills theory in anti-de Sitter space-time
• On the stability of soliton and hairy black hole solutions of $\mathfrak{su}(N)$ Einstein-Yang-Mills theory with a negative cosmological constant
• Black holes with $\mathfrak{su}(N)$ gauge field hair and superconducting horizons
• Solitons and hairy black holes in Einstein-non-Abelian-Proca theory in anti-de Sitter space-time
• On the global existence of spherically symmetric hairy black holes and solitons in anti-de Sitter Einstein-Yang-Mills theories with compact semisimple gauge groups
• On the existence of topological dyons and dyonic black holes in anti-de Sitter Einstein-Yang-Mills theories with compact semisimple gauge groups
• Non-Abelian clouds around Reissner-Nordström black holes: the existence line
• Dyonic black holes in $\mathfrak{su}(\infty )$ anti-de Sitter Einstein-Yang-Mills theory, characterised by an infinite set of global charges