Charged scalar perturbations around a regular magnetic black hole

Abstract

We study charged scalar perturbations in the background of a regular magnetic black hole. In this case, the charged scalar perturbation does not result in superradiance. By using careful time-domain analysis, we show that the charge of scalar field can change the real part of quasinormal frequency, but has little impact on the imaginary part of quasinormal frequency and the behavior of the late-time tail. Therefore, the regular magnetic black hole may be stable under the perturbations of charged scalar field at the linear level.

7 pages, 4 figures, substantially revised, published in Phys. Rev. D

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• Superradiant instability of $D$-dimensional Reissner-Nordström-anti-de Sitter black hole mirror system
• Time evolutions of scalar field perturbations in $D$-dimensional Reissner-Nordström Anti-de Sitter black holes
• On the compatibility of Nonlinear Electrodynamics models with Robinson--Trautman geometry
• The fastest relaxation rate of higher-dimensional Reissner--Nordström black hole
• Hairless Black Hole by Superradiance