Superradiant instability in slowly rotating Kerr-Newman black holes
arXiv:2204.04789 · doi:10.1142/S0218271822500870
Abstract
We study the superradiant instability of slowly rotating Kerr-Newman (sKN) black holes under a charged massive scalar perturbation. These black holes resemble closer the Reissner-Nordström black holes than the Kerr-Newman black holes. We compute the negative absorption cross section of a massive scalar for superradiant scattering in the low frequency limit. From the scalar potential analysis, we find that the superradiant instability is not allowed in the sKN black holes because the condition for a trapping well is not compatible with the superradiance condition. However, the rate of energy extraction might grow exponentially if the sKN black hole is placed inside a reflecting cavity. Finally, we obtain the condition for the trapping well to possess quasibound states in the sKN black holes by analyzing asymptotic scalar potential and wave functions.
20 pages, 7 figures, version to appear in IJMPD
References in corpus (10)
- Instability of the massive Klein-Gordon field on the Kerr spacetime
- Kerr-Newman scalar clouds
- Kerr-Newman black holes with stationary charged scalar clouds
- Stability of Reissner-Nordström black hole in de Sitter background under charged scalar perturbation
- Slowly-rotating curved acoustic black holes: Quasinormal modes, Hawking-Unruh radiation and quasibound states
- Quasinormal modes of massive vector fields on the Kerr spacetime
- Massive and charged scalar field in Kerr-Newman spacetime: Absorption and superradiance
- Effective Field Theory for the Perturbations of a Slowly Rotating Black Hole
- Analytic study of superradiant stability of Kerr-Newman black holes under charged massive scalar perturbation
- Slowly rotating black holes with exact Killing tensor symmetries