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Analytic formula for quasinormal modes in the near-extreme Kerr-Newman-de Sitter spacetime governed by a non-P\"oschl-Teller potential

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arxiv 2108.04858 v2 pith:HGIFKEN4 submitted 2021-08-10 gr-qc hep-th

M. S. Churilova , R. A. Konoplya , A. Zhidenko This is my paper
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keywords quasinormalfieldsmodessitterformulaoschl-telleranalyticanalytical
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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 P\"oschl-Teller wavelike equation. We show that perturbations of fermionic fields (given by Dirac and Rarita-Schwinger equations) do not lead to the P\"oschl-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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Non-oscillatory gravitational quasinormal modes of Reissner-Nordstr\"om-de Sitter spacetime

    gr-qc 2025-06 conditional novelty 6.0 of 10

    Purely imaginary gravitational quasinormal modes of Reissner-Nordström-de Sitter black holes are computed and shown to obey a universal small-hole formula and to generate late-time exponential tails.

  2. Bound States of the Schwarzschild Black Hole

    gr-qc 2025-05 conditional novelty 6.0 of 10

    The bound states of the inverted Regge-Wheeler potential are exponentially condensed near zero energy and strongly delocalized, linking black hole overtone instability to long-range potential features.

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