No black hole bomb for D-dimensional extremal Reissner-Nordstrom black holes under charged massive scalar perturbation
arXiv:2201.00725 · doi:10.1140/epjc/s10052-022-10423-9
Abstract
The superradiant stability of asymptotically flat D-dimensional extremal Reissner-Nordstrom black holes under charged massive scalar perturbation is analytically studied. Recently, an analytical method has been proposed by the author and used to prove that five and six-dimensional extremal Reissner-Nordstrom black holes are superradiantly stable under charged massive scalar perturbation. We apply this analytical method in the D-dimensional extremal Reissner-Nordstrom black hole cases and prove that the D-dimensional Reissner-Nordstrom black holes are all superradiantly stable under charged massive scalar perturbation. Our result is consistent with the previous numerical observation in the literature and provides a rigorous analytical proof.
47 pages,1 figure, references added
References in corpus (16)
- Black holes as particle detectors: evolution of superradiant instabilities
- Stability and quasinormal modes of the massive scalar field around Kerr black holes
- Instability of higher dimensional charged black holes in the de-Sitter world
- Stability of Reissner-Nordström black hole in de Sitter background under charged scalar perturbation
- Evolution of perturbations of squashed Kaluza-Klein black holes: escape from instability
- Stability of higher dimensional Reissner-Nordstrom-anti-de Sitter black holes
- Stability of highly-charged Reissner-Nordström black holes to charged scalar perturbations
- Superradiance and Instability of Black Holes
- Onset of superradiant instabilities in the composed Kerr-black-hole-mirror bomb
- Superradiant instability of Kerr-de Sitter black holes in scalar-tensor theory
- Scalar, Vector and Tensor Harmonics on the Three-Sphere
- Superradiance and black hole bomb in five-dimensional minimal ungauged supergravity
- Analytic study of superradiant stability of Kerr-Newman black holes under charged massive scalar perturbation
- Extremal rotating black holes, scalar perturbation and superradiant stability
- Dyonic Reissner-Nordstrom Black Holes and Superradiant Stability
- Superradiant stability of five and six-dimensional extremal Reissner-Nordstrom black holes