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arXiv · 2201.00725

No black hole bomb for D-dimensional extremal Reissner-Nordstrom black holes under charged massive scalar perturbation

Jia-Hui Huang
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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.

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Jia-Hui Huang. 2022-01-03. No black hole bomb for D-dimensional extremal Reissner-Nordstrom black holes under charged massive scalar perturbation. https://doi.org/10.1140/epjc%2Fs10052-022-10423-9

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