No black hole bomb for D-dimensional extremal Reissner-Nordstrom black holes under charged massive scalar perturbation
arXiv:2201.00725 · doi:10.1140/epjc/s10052-022-10423-9
Abstract
The superradiant stability of asymptotically flat D-dimensional extremal Reissner-Nordstrom black holes under charged massive scalar perturbation is analytically studied. Recently, an analytical method has been proposed by the author and used to prove that five and six-dimensional extremal Reissner-Nordstrom black holes are superradiantly stable under charged massive scalar perturbation. We apply this analytical method in the D-dimensional extremal Reissner-Nordstrom black hole cases and prove that the D-dimensional Reissner-Nordstrom black holes are all superradiantly stable under charged massive scalar perturbation. Our result is consistent with the previous numerical observation in the literature and provides a rigorous analytical proof.
arXiv comment47 pages,1 figure, references added
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