2013
DOI: 10.1103/physrevd.88.063003
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Rapid growth of superradiant instabilities for charged black holes in a cavity

Abstract: Confined scalar fields, either by a mass term or by a mirror-like boundary condition, have unstable modes in the background of a Kerr black hole. Assuming a time dependence as e −iωt , the growth time-scale of these unstable modes is set by the inverse of the (positive) imaginary part of the frequency, Im(ω), which reaches a maximum value of the order of Im(ω)M ∼ 10 −5 , attained for a mirror-like boundary condition, where M is the black hole mass. In this paper we study the minimally coupled Klein-Gordon equa… Show more

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Cited by 117 publications
(125 citation statements)
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“…The numerical methods employed in this problem are based on the shooting method, which is also called the direct integration (DI) method [31][32][33][34]. It is shown that the DI method is specially suited to find a stationary field configuration with the mirror-like boundary condition.…”
Section: Numerical Procedures and Resultsmentioning
confidence: 99%
“…The numerical methods employed in this problem are based on the shooting method, which is also called the direct integration (DI) method [31][32][33][34]. It is shown that the DI method is specially suited to find a stationary field configuration with the mirror-like boundary condition.…”
Section: Numerical Procedures and Resultsmentioning
confidence: 99%
“…This means that the RN black holes are stable under the perturbations of massive charged scalar fields. Soon after, Degollado et al [41,42] found that the same system can be made unstable by adding a mirror-like boundary condition like the case of the Kerr black hole. However, whether all of the charged black holes have similar properties to the RN black hole is still an interesting question that deserves further studies.…”
Section: Introductionmentioning
confidence: 99%
“…We will show that the variation of the clouds' properties with the mirror location and "quantum numbers" labeling the cloud is qualitatively similar for both acoustic and scalar clouds. Let us remark that superradiance of scalar fields around BHs in a cavity has been studied in the past, for both Kerr [20,27,28] and Reissner-Nordström geometries [29][30][31].…”
Section: Introductionmentioning
confidence: 99%