Conditions for superradiant instability of the Kerr-Newman black holes
arXiv:2204.06750 · doi:10.1103/PhysRevD.105.124015
Abstract
We find two conditions for superradiant instability of Kerr-Newman black holes under a charged massive scalar perturbation by analyzing asymptotic scalar potential and far-region wave function. Actually, they correspond to the condition for getting a trapping well. Also, we obtain the conditions for superradiant stability of Kerr-Newman black holes which states that there is no trapping well. The analysis is applied to Kerr black holes to find a condition for superradiant instability.
15 pages, 7 figures, a version to appear in PRD
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