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  4. Superradiance of charged black holes in Einstein–Gauss–Bonnet gravity
 
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Superradiance of charged black holes in Einstein–Gauss–Bonnet gravity
Fierro-Mondaca, Octavio
Facultad de Ingeniería 
Grandi, Nicolás
Oliva, Julio
10.1088/1361-6382/aab3f6
IOP
2018
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.
Einstein–Gauss–Bonnet
Black holes in a cavity
Superrandiance
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