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On the ease of excitation of black hole ringing: Quantifying the importance of overtones by the excitation factors

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arxiv 2109.09757 v2 pith:PJEO5TKU submitted 2021-09-20 gr-qc

classification gr-qc
keywords excitationfactorsblackovertoneseaseholeimportanceindependent
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abstract

The excitation factors of black hole quasinormal modes quantify the $\textit{ease of excitation}$ of the quasinormal modes and are independent of the source of perturbation. We compute the excitation factors of Kerr black holes up to the 20th overtone and find that the 4th, 5th, and 6th overtones have the first three highest excitation factors for intermediate and high spin parameters. This provides an independent confirmation of the importance of overtones that has been confirmed by the fitting data analysis of numerical relativity waveforms beginning around the strain peak amplitude.

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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. Probing Direct Waves in Black Hole Ringdowns

    gr-qc 2025-09 conditional novelty 7.0 of 10

    Merger gravitational wave signals contain a 'direct wave' from the plunging companions, screened by the remnant's potential, with frequency near the superradiant value for high-spin remnants and SNR above 10 in GW1509...

  2. Exceptional Lines and Excitation of (Nearly) Double-Pole Quasinormal Modes: A Semi-Analytic Study in the Nariai Black Hole

    gr-qc 2026-01 conditional novelty 6.0 of 10

    In the near-Nariai limit of rotating de Sitter black holes, massive scalar perturbations have a continuous curve of exceptional points where prograde and retrograde quasinormal modes merge, and the resulting double-po...

  3. Self-force framework for merger-ringdown waveforms

    gr-qc 2025-06 conditional novelty 6.0 of 10

    A phase-space self-force framework is extended through the final plunge to produce merger-ringdown waveforms at leading geodesic order, with stationary-phase and quasinormal-mode approximations both failing near the p...

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