Ponglertsakul, S. and Winstanley, E. orcid.org/0000-0001-8964-8142 (2016) Solitons and hairy black holes in Einstein-non-Abelian-Proca theory in anti-de Sitter space-time. Physical Review D , 94. 044048 . ISSN 1550-7998
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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Copyright, Publisher and Additional Information: | © 2016 American Physical Society. This is an author produced version of a paper subsequently published in Physical Review D. Uploaded in accordance with the publisher's self-archiving policy. | ||||
Keywords: | gr-qc; gr-qc | ||||
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Institution: | The University of Sheffield | ||||
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) | ||||
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Depositing User: | Symplectic Sheffield | ||||
Date Deposited: | 26 Sep 2016 10:54 | ||||
Last Modified: | 29 Mar 2018 11:36 | ||||
Published Version: | http://dx.doi.org/10.1103/PhysRevD.94.044048 | ||||
Status: | Published | ||||
Publisher: | American Physical Society | ||||
Refereed: | Yes | ||||
Identification Number: | https://doi.org/10.1103/PhysRevD.94.044048 | ||||
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