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Parametrized Black Hole Quasinormal Ringdown Formalism for Higher Overtones

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arxiv 2404.09672 v2 pith:ANVXZUVP submitted 2024-04-15 gr-qc hep-th

Shin'ichi Hirano , Masashi Kimura , Masahide Yamaguchi , Jiale Zhang This is my paper · ORCID
classification gr-qchep-th
keywords overtonesquasinormalhigherblackformalismgeneralholemodes
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We investigate the parametrized black hole quasinormal ringdown formalism, which is a robust framework used to analyze quasinormal modes in systems that closely resemble general relativity, paying particular attention to the higher overtones. We find that larger deviations from the general relativity case typically appear in the quasinormal frequencies for the higher overtones. This growing tendency for higher overtones can be understood using an analytical method, and its relations to previous works are briefly discussed. Our findings indicate that we can impose a strong constraint on gravity theories by considering the overtones of quasinormal modes.

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Cited by 4 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. Spectral instability of parametrized black hole quasinormal modes in the high-overtone limit via the exact WKB analysis

    gr-qc 2025-12 conditional novelty 6.0 of 10

    Constant 1/r⁴-or-higher parametrized corrections to the Regge–Wheeler potential drive the real part of high-overtone QNM frequencies to diverge (e.g., like N^{1/5}), unlike Schwarzschild.

  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.

  4. Reanalyzing the ringdown signal of GW150914 using the F-statistic method

    gr-qc 2024-11 conditional novelty 5.0 of 10

    Applying the F-statistic method to GW150914's ringdown yields FIC = -0.3 for adding the first overtone, consistent with no overtone, while an injection with an overtone yields FIC = 0.3.

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