Abstract
We present new soliton and hairy black hole solutions of Einstein–non-Abelian–Proca theory in asymptotically anti–de Sitter spacetime with gauge group . For static, spherically symmetric configurations, we show that the gauge field must be purely magnetic, and we solve the resulting field equations numerically. The equilibrium gauge field is described by a single function , which must have at least one zero. The solitons and hairy black holes share many properties with the corresponding solutions in asymptotically flat spacetime. In particular, all the solutions we study are unstable under linear, spherically symmetric, perturbations of the metric and gauge field.
9 More- Received 22 June 2016
DOI:https://doi.org/10.1103/PhysRevD.94.044048
© 2016 American Physical Society