Higher-dimensional non-extremal Reissner-Nordstrom black holes, scalar perturbation and superradiance: an analytical study

Abstract

The superradiant stability of higher dimensional non-extremal Reissner-Nordstrom black holes under charged massive scalar perturbation is analytically studied. We extend an analytical method developed by one of the authors in the extremal Reissner-Nordstrom black hole cases to non-extremal cases. Using the new analytical method, we revisit four-dimensional Reissner-Nordstrom black hole case and obtain that four-dimensional Reissner-Nordstrom black hole is superradiantly stable, which is consistent with results in previous works. We then analytically prove that the five-dimensional Reissner-Nordstrom black holes are also superradiantly stable under charged massive scalar perturbation. Our result implies that all higher dimensional non-extremal Reissner-Nordstrom black holes may be superradiantly stable under charged massive scalar perturbation.

11pages,no figure

References in corpus (12)

• Instability of higher dimensional charged black holes in the de-Sitter world
• Evolution of perturbations of squashed Kaluza-Klein black holes: escape from instability
• Stability of highly-charged Reissner-Nordström black holes to charged scalar perturbations
• Superradiance and Instability of Black Holes
• Numerical study of superradiant instability for charged stringy black hole-mirror system
• Massive Scalar Perturbations on Myers-Perry-de Sitter Black Holes with a Single Rotation
• Onset of superradiant instabilities in the composed Kerr-black-hole-mirror bomb
• Superradiant instability of D-dimensional Reissner-Nordström black hole mirror system
• 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