Superradiance of charged black holes in Einstein-Gauss-Bonnet gravity

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 mo...

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Bibliographic Details
Published in:Classical and quantum gravity 2018-05, Vol.35 (10), p.105007
Main Authors: Fierro, Octavio, Grandi, Nicolás, Oliva, Julio
Format: Article
Language:English
Subjects:
black holes in a cavity
Einstein-Gauss-Bonnet
superrandiance
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Summary: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 α 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.
ISSN:0264-9381
1361-6382
DOI:10.1088/1361-6382/aab3f6