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Quasinormal Modes of Dilaton Black Holes: Analytic approximations

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arxiv 2409.09872 v1 pith:PBBIC6GP submitted 2024-09-15 gr-qc

classification gr-qc
keywords analyticmodesquasinormalapproachblackdilatoneikonalfields
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abstract

We have derived precise analytic expressions for the quasinormal modes of test scalar, and Dirac fields in the background of the dilaton black hole. To achieve this, we employ the higher-order WKB expansion in terms of $1/\ell$. A comparison between the analytic formulas and time-domain integration reveals that the analytic approach generally yields more accurate results than the numerical results previously published using the lower-order WKB approach. We demonstrate that in the eikonal regime, test fields adhere to the correspondence between null geodesics and eikonal quasinormal modes.

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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. The shadow and quasinormal modes of the asymptotically flat hairy black holes with a dilaton potential

    gr-qc 2025-08 conditional novelty 5.0 of 10

    For exact asymptotically flat hairy charged black holes with a dilaton potential, the shadow radius, photon-orbit Lyapunov exponent, and scalar quasinormal frequencies are computed, showing strong coupling dependence ...

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