Solitons and hairy black holes in Einstein-non-Abelian-Proca theory in anti-de Sitter space-time

Abstract

We present new soliton and hairy black hole solutions of Einstein-non-Abelian-Proca theory in asymptotically anti-de Sitter space-time with gauge group $\mathfrak{su}(2)$. For static, spherically symmetric configurations, we show that the gauge field must be purely magnetic, and solve the resulting field equations numerically. The equilibrium gauge field is described by a single function $\omega (r)$, which must have at least one zero. The solitons and hairy black holes share many properties with the corresponding solutions in asymptotically flat space-time. In particular, all the solutions we study are unstable under linear, spherically symmetric, perturbations of the metric and gauge field.

23 pages, 16 figures, typos corrected, version accepted for publication in Physical Review D

References in corpus (2)

• Formation and decay of Einstein-Yang-Mills black holes
• Instability of sphaleron black holes in asymptotically anti-de Sitter space-time

Cited by in corpus (5)

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• Non-Abelian Proca-Dirac-Higgs theory: particle-like solutions and their energy spectrum
• Scalarization of planar anti de Sitter charged black holes in Einstein-Maxwell-Scalar theory
• Proca Q Tubes and their Coupling to Gravity
• Particle-like solutions in the generalized SU(2) Proca theory