The extremal Reissner-Nordström black holes: an exact charged scalar quasiresonance
arXiv:2405.07579 · doi:10.1016/j.aop.2024.169898
Abstract
In this letter, we present a novel exact scalar quasibound states solutions in the extremal Reissner-Norström black hole background. We start with the construction of the governing covariant relativistic scalar field equation, the Klein-Gordon equation in the extremal Reissner-Norström black hole background and applying the separation of variables anzat. The exact relativistic scalar wave's angular solution is found in terms of the spherical harmonics while the two independent radial wave solutions are, for the first time, exactly found and presented in terms of the double confluent Heun functions. The solutions are settled in the gravitational potential well and behave like an ingoing waves approaching black hole's horizon, vanishing when approaching infinity. The gravitationally bounded charged massive scalar fields are found to have quantized complex valued energy levels while imaginary energy levels are obtained for the charged massless scalar field, of both cases, indicating decaying states. Further investigation shows that the extreme Reissner-Nordstöm black hole does not support scalar cloud. And with the help of the obtained exact radial solutions, the Hawking radiation of the extremal Reissner-Nordstöm black hole is investigated and we find the zero temperature of the black hole's horizon.
arXiv comment15 pages, 3 figures, 1 Appendix
References in corpus (23)
- Kerr black holes with scalar hair
- On the gravitational field of a mass point according to Einstein's theory
- Probing Ultralight Bosons with Binary Black Holes
- Stationary Scalar Clouds Around Rotating Black Holes
- Quasinormal modes of the near extremal Schwarzschild-de Sitter black hole
- The Spectra of Gravitational Atoms
- Kerr-Newman scalar clouds
- Stationary resonances of rapidly-rotating Kerr black holes
- Kerr-Newman black holes with stationary charged scalar clouds
- Stability of highly-charged Reissner-Nordström black holes to charged scalar perturbations
- Quasibound states of Schwarzschild acoustic black holes
- Quasinormal resonances of near-extremal Kerr-Newman black holes
- Quasinormal modes of extremal black holes
- Massive Scalar Perturbations on Myers-Perry-de Sitter Black Holes with a Single Rotation
- Quasinormal modes of black strings in de Rham-Gabadadze-Tolley massive gravity
- Quasi-bound states of massive scalar fields in the Kerr black-hole spacetime: Beyond the hydrogenic approximation
- Scattering state and bound state of scalar field in Schwarzschild spacetime: Exact solution
- Quasi-normal Modes of near-extremal black holes in Generalized spherically symmetric spacetime and Strong Cosmic Censorship Conjecture
- Gravitational waves from axions annihilation through quantum field theory
- Resonant frequencies of a massless scalar field in the canonical acoustic black hole spacetime
- High frequency background gravitational waves from spontaneous emission of gravitons by hydrogen and helium
- Near-extremal black holes
- Quasibound states of analytic black-hole configurations in three and four dimensions