https://doi.org/10.1140/epjc/s10052-021-09180-y
Regular Article - Theoretical Physics
Analytic study of superradiant stability of Kerr–Newman black holes under charged massive scalar perturbation
1
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
Received:
4
January
2021
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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