Journal
EUROPEAN PHYSICAL JOURNAL C
Volume 81, Issue 5, Pages -Publisher
SPRINGER
DOI: 10.1140/epjc/s10052-021-09180-y
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Funding
- Science and Technology Program of Guangzhou [2019050001]
- Natural Science Foundation of Guangdong Province [2020A1515010388]
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The research investigates the superradiant stability of a Kerr-Newman black hole and charged massive scalar perturbation, finding that under certain conditions, the system is superradiantly stable.
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 r-/r+ <= 1/3 and the charge-to-mass ratios of scalar perturbation and black hole satisfy q/mu Q/M > 1, the Kerr-Newman black hole and scalar perturbation system is superradiantly stable.
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