Analytic formula for quasinormal modes in the near-extreme Kerr-Newman-de Sitter spacetime governed by a non-Pöschl-Teller potential
arXiv:2108.04858 · doi:10.1103/PhysRevD.105.084003
Abstract
Quasinormal modes of scalar, electromagnetic, and gravitational fields in the extreme Schwarzschild-de Sitter background are known to be expressed in analytic form as eigenvalues of the Pöschl-Teller wavelike equation. We show that perturbations of fermionic fields (given by Dirac and Rarita-Schwinger equations) do not lead to the Pöschl-Teller effective potential. Nevertheless, using the Frobenius method we find quasinormal modes analytically in this case as well. We write down the analytical formula for quasinormal frequencies of the near-extreme Schwarzschild-de Sitter black holes, which is valid for both bosonic and fermionic fields. We further extend the analysis to the case of charged rotating black holes and find a general analytical formula for quasinormal modes of the fields of various spin for the near extreme Kerr-Newman-de Sitter spacetime.
9 pages
References in corpus (8)
- Higher order WKB formula for quasinormal modes and grey-body factors: recipes for quick and accurate calculations
- Quasinormal modes and Strong Cosmic Censorship
- Quasinormal modes of Dirac field in the Einstein-dilaton-Gauss-Bonnet and Einstein-Weyl gravities
- Quasinormal spectra of scale-dependent Schwarzschild-de Sitter black holes
- Quasinormal modes of generalized Pöschl-Teller potentials
- Late-time evolution of Dirac field around Schwarzschild-quintessence black hole
- Quasinormal modes for integer and half-integer spins within the large angular momentum limit
- Gravitino fields in Schwarzschild black hole spacetimes
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