Analytic study of superradiant stability of Kerr-Newman black holes under charged massive scalar perturbation

Abstract

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 $\frac{r_{-}}{r_{+}}⩽\frac{1}{3}$ and the charge-to-mass ratios of scalar perturbation and black hole satisfy $\frac{q}{\mu }\frac{Q}{M}>1$, the Kerr-Newman black hole and scalar perturbation system is superradiantly stable.

7 pages, references added

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• Superradiant (In)stability, Greybody Radiation, and Quasinormal Modes of Rotating Black Holes in non-linear Maxwell f (R) Gravity
• Dyonic Reissner-Nordstrom Black Holes and Superradiant Stability
• Massive Scalar Perturbation of Extremal Rotating Braneworld Black hole: Superradiant Stability Analysis
• No black hole bomb for D-dimensional extremal Reissner-Nordstrom black holes under charged massive scalar perturbation
• Superradiance of rotating black holes surrounded by dark matter
• Conditions for superradiant instability of the Kerr-Newman black holes
• Revisiting superradiant stability of Kerr-Newman black holes under a charged massive scalar
• Superradiant instability in slowly rotating Kerr-Newman black holes
• Six-dimensional non-extremal Reissner-Nordstrom black hole, charged massive scalar perturbation and black hole bomb
• Superradiant instability of dyonic Reissner-Nordstrom black holes
• Higher-dimensional non-extremal Reissner-Nordstrom black holes, scalar perturbation and superradiance: an analytical study