Superradiant stability of five and six-dimensional extremal Reissner-Nordstrom black holes

Abstract

The superradiant stability of five and six-dimensional extremal Reissner-Nordstrom black holes under charged massive scalar perturbation is studied. In each case, it is analytically proved that the effective potential experienced by the scalar perturbation has only one maximum outside the black hole horizon and no potential well exists for the superradiance modes. So the five and six-dimensional extremal Reissner-Nordstrom black holes are superradiantly stable. In the proof, we develop a new method which is based on the Descartes' rule of signs for the polynomial equations. Our results generalize the previous study that four-dimensional extremal Reissner-Nordstrom black hole is superradiantly stable under charged massive scalar perturbation.

15 pages, no figures

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Cited by in corpus (3)

• No black hole bomb for D-dimensional extremal Reissner-Nordstrom black holes under charged massive scalar perturbation
• Six-dimensional non-extremal Reissner-Nordstrom black hole, charged massive scalar perturbation and black hole bomb
• On the five-dimensional non-extremal Reissner-Nordström black hole: Retractions and scalar quasibound states