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arXiv · 1606.04644

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

Supakchai Ponglertsakul·Elizabeth Winstanley
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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.

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Supakchai Ponglertsakul, Elizabeth Winstanley. 2016-06-15. Solitons and hairy black holes in Einstein-non-Abelian-Proca theory in anti-de Sitter space-time. https://doi.org/10.1103/physrevd.94.044048

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