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Deciphering the Instability of the Black Hole Ringdown Quasinormal Spectrum

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arxiv 2407.20144 v1 pith:SLOXCKHE submitted 2024-07-29 gr-qc astro-ph.CO

A. Ianniccari , A. J. Iovino , A. Kehagias , P. Pani , G. Perna , D. Perrone , A. Riotto This is my paper · ORCID
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keywords blackgravitationalringdownspectrumholeinstabilityobservablesquasinormal
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The spectrum of the quasinormal modes of the gravitational waves emitted during the ringdown phase following the merger of two black holes is of primary importance in gravitational astronomy. However, the spectrum is extremely sensitive to small disturbances of the system, thus potentially jeopardizing the predictions of the gravitational wave observables. We offer an analytical and intuitive explanation of such an instability and its properties based on the transfer matrix approach of quantum mechanics. We also give a simple interpretation of the fact that the prompt ringdown response in the time domain and the black hole greybody factor receive parametrically small corrections, thus being robust observables.

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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. Numerical study on the robustness of the stability for stable black holes

    gr-qc 2025-06 conditional novelty 7.0 of 10

    Infinitesimal negative or stochastic near-horizon deformations of the Regge-Wheeler potential can destabilize an otherwise stable Schwarzschild black hole in a toy scalar-field model.

  2. Waveform stability of black hole ringdown with stochastic horizon structure

    gr-qc 2026-02 conditional novelty 6.0 of 10

    Ringdown waveforms are robust against small-scale stochastic horizon fluctuations; only coherent, macroscopic horizon structure with ε≳10^-4 and L_c∼M could produce observable deviations.

  3. Spectrum instability and greybody factor stability for parabolic approximation of Regge-Wheeler potential

    gr-qc 2025-05 conditional novelty 6.0 of 10

    Replacing the Regge-Wheeler potential by piecewise parabolas makes quasinormal-mode spectra unstable, with long-lived overtones, while greybody factors stay close to the exact Schwarzschild result.

  4. Bound States of the Schwarzschild Black Hole

    gr-qc 2025-05 conditional novelty 6.0 of 10

    The bound states of the inverted Regge-Wheeler potential are exponentially condensed near zero energy and strongly delocalized, linking black hole overtone instability to long-range potential features.

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