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Note on the parametrized black hole quasinormal ringdown formalism

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arxiv 2001.09613 v4 pith:DESB46YV submitted 2020-01-27 gr-qc hep-th

Masashi Kimura This is my paper · ORCID
classification gr-qchep-th
keywords coefficientsblackdeviationformalismholeindependentmodelorder
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The parametrized black hole quasinormal ringdown formalism is useful to compute quasinormal mode (QNM) frequencies if a master equation for the gravitational perturbation around a black hole has a small deviation from the Regge-Wheeler or Zerilli equation. In this formalism, the deviation of QNM frequency from general relativity can be calculated by small deviation parameters and model independent coefficients. In this paper, we derive recursion relations for the model independent coefficients. Using these relations, the higher order coefficients are written only by the lower order coefficients. Thus, we only need the lower order coefficients when we numerically compute the model independent coefficients.

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Cited by 3 Pith papers

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

  1. Parametrized beyond-Teukolsky framework in the time domain

    gr-qc 2026-07 conditional novelty 6.0 of 10

    First time-domain implementation of the parametrized beyond-Teukolsky framework, validated against frequency-domain benchmarks for low multipoles and yielding new amplitude, phase, quadratic-coefficient, and tail-onse...

  2. Discrete symmetries of modified Teukolsky equations

    gr-qc 2026-07 conditional novelty 5.0 of 10

    Complex modifications of the Teukolsky potential break m=0 QNM degeneracy and can inject non-physical mode branches when frequency-domain multipole-dependent potentials are evolved in time.

  3. Constraining deviations from the Teukolsky equation with GW250114

    gr-qc 2026-07 conditional novelty 5.0 of 10

    GW250114's fundamental ringdown mode bounds theory-agnostic deviations from the Teukolsky equation to be consistent with zero at characteristic scales of 60-100 km.

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