Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 35, Issue 10, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1361-6382/aab3f6
Keywords
Einstein-Gauss-Bonnet; black holes in a cavity; superrandiance
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Funding
- Conicet, Argentina [PIP-2008-0396]
- UNLP, Argentina [PID-2013-X648, PID-2017-X791]
- CONICYT [PAI80160018]
- Newton-Picarte Grants [DPI20140053]
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In this paper we show that electrically charged black holes in Einstein-Gauss-Bonnet gravity suffer from a superradiant instability. It is triggered by a charged scalar field that fulfils Dirichlet boundary conditions at a mirror located outside the horizon. As in general relativity, the unstable modes exist provided that the mirror is located beyond a critical radius, making the instability a long wavelength one. We explore the effects of the Gauss-Bonnet corrections on the critical radius and find evidence that the critical radius decreases as the Gauss-Bonnet coupling a increases. Due to the, up to date, lack of an analytic rotating solution for Einstein-Gauss-Bonnet theory, this is the first example of a superradiant instability in the presence of higher curvature terms in the action.
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