Dolan, S.R., Ponglertsakul, S. and Winstanley, E. (2015) Stability of black holes in Einstein-charged scalar field theory in a cavity. Physical Review D (PRD), 92 (12). 124047 . ISSN 1550-7998
Abstract
Can a black hole that suffers a superradiant instability evolve towards a “hairy” configuration which is stable? We address this question in the context of Einstein-charged scalar field theory. First, we describe a family of static black hole solutions which possess charged scalar-field hair confined within a mirror-like boundary. Next, we derive a set of equations which govern the linear, spherically symmetric perturbations of these hairy solutions. We present numerical evidence which suggests that, unlike the vacuum solutions, the (single-node) hairy solutions are stable under linear perturbations. Thus, it is plausible that stable hairy black holes represent the end point of the superradiant instability of electrically charged Reissner-Nordström black holes in a cavity; we outline ways to explore this hypothesis.
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Copyright, Publisher and Additional Information: | © 2015 American Physical Society | ||||||||
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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: | 22 Jan 2016 16:15 | ||||||||
Last Modified: | 11 Mar 2016 16:14 | ||||||||
Published Version: | http://dx.doi.org/10.1103/PhysRevD.92.124047 | ||||||||
Status: | Published | ||||||||
Publisher: | American Physical Society | ||||||||
Refereed: | Yes | ||||||||
Identification Number: | https://doi.org/10.1103/PhysRevD.92.124047 | ||||||||
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