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On the physical significance of black hole quasinormal mode spectra instability

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arxiv 2404.01374 v1 pith:HGK3P5PY submitted 2024-04-01 gr-qc

Vitor Cardoso , Shilpa Kastha , Rodrigo Panosso Macedo This is my paper · ORCID
classification gr-qc
keywords blackexamplesholeinstabilitiesleadingphysicalquasinormalspectra
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It has been shown, via specific examples and a pseudospectrum analysis, that the black hole quasinormal spectra are unstable. The implication of such a result for gravitational-wave physics and of our understanding of black holes is, still, unclear. The purpose of this work is twofold: (i) we show that some of the setups leading to instabilities are unphysical and triggered by exotic matter or extreme spacetimes; (ii) nevertheless, we also show simple examples of compelling physical scenarios leading to spectral instabilities. Our results highlight the importance of understanding the overtone content of time-domain waveforms, and their detectability.

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Cited by 5 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. Berry Picking: Random Wave Chaos Hierarchy for BPS Microstate Geometries

    hep-th 2026-07 conditional novelty 6.0 of 10

    Wave chaos in BPS microstate geometries strengthens toward black-hole-like throats while geodesic chaos weakens, and weak-coupling CFT Renyi entropies do not share that bulk hierarchy.

  3. 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.

  4. 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.

  5. 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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