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Perturbative calculation of quasi-normal modes of Schwarzschild black holes

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arxiv hep-th/0308168 v2 pith:Y3FUGYVO submitted 2003-08-25 hep-th gr-qc

classification hep-thgr-qc
keywords blackquasi-normalresultsschwarzschildagreementanalysesanalyticallyapproximation
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We discuss a systematic method of analytically calculating the asymptotic form of quasi-normal frequencies of a four-dimensional Schwarzschild black hole by expanding around the zeroth-order approximation to the wave equation proposed by Motl and Neitzke. We obtain an explicit expression for the first-order correction and arbitrary spin. Our results are in agreement with the results from WKB and numerical analyses in the case of gravitational waves.

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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. Ergodic Hysteresis of the Kerr black hole spectrum

    gr-qc 2025-11 conditional novelty 6.0 of 10

    Near-extremal Kerr black holes with massive scalar fields exhibit a cascade of exceptional points that can adiabatically permute arbitrary quasinormal-mode overtones.

  2. Test-Field vs Physical Quasi-Normal Modes in Scalar-Tensor Theories

    gr-qc 2025-05 conditional novelty 6.0 of 10

    Test-field QNM spectra of BCL black holes deviate strongly from physical axial gravitational QNM spectra at high overtones, while fundamental modes remain close.

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