Regular Article - Theoretical Physics
Analytic study of superradiant stability of Kerr–Newman black holes under charged massive scalar perturbation
School of Information and Optoelectronic Science and Technology, South China Normal University, 510006, Guangzhou, China
2 Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, School of Physics and Telecommunication Engineering, South China Normal University, 510006, Guangzhou, China
3 Guangdong Provincial Key Laboratory of Nuclear Science, Institute of quantum matter, South China Normal University, 510006, Guangzhou, China
4 Guangdong-Hong Kong Joint Laboratory of Quantum Matter, Southern Nuclear Science Computing Center, South China Normal University, 510006, Guangzhou, China
Accepted: 23 April 2021
Published online: 8 May 2021
The superradiant stability of a Kerr–Newman black hole and charged massive scalar perturbation is investigated. We treat the black hole as a background geometry and study the equation of motion of the scalar perturbation. From the radial equation of motion, we derive the effective potential experienced by the scalar perturbation. By a careful analysis of this effective potential, it is found that when the inner and outer horizons of Kerr–Newman black hole satisfy and the charge-to-mass ratios of scalar perturbation and black hole satisfy , the Kerr–Newman black hole and scalar perturbation system is superradiantly stable.
© The Author(s) 2021
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