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Unstable chords and destructive resonant excitation of black hole quasinormal modes

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arxiv 2503.21276 v1 pith:CY3Z5Q7T submitted 2025-03-27 gr-qc astro-ph.COhep-th

Naritaka Oshita , Emanuele Berti , Vitor Cardoso This is my paper · ORCID
classification gr-qcastro-ph.COhep-th
keywords modequasinormalmodificationssmallavoidedblackconvergenceexcitation
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The quasinormal mode spectrum of black holes is unstable against small modifications of the radial potential describing massless perturbations. We study how these small modifications affect the convergence of the quasinormal mode expansion and the mode excitation by computing the mode amplitudes from first principles, without relying on any fitting procedure. We show that the decomposition of the prompt ringdown waveform is not unique: small modifications in the radial potential produce new quasinormal mode ''basis sets'' that can improve the convergence of the quasinormal mode expansion, even capturing the late-time tail. We also study avoided crossings and exceptional points of the Kerr and Kerr-de Sitter spectrum. We show that while the mode amplitude can be resonantly excited, modes that exhibit avoided crossing destructively interfere with each other, so that the prompt ringdown waveform remains stable.

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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. 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.

  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. Ergodic Hysteresis of the Kerr black hole spectrum

    gr-qc 2025-11 conditional novelty 6.0 of 10

    Near-extremal Kerr black holes with massive scalar fields exhibit a cascade of exceptional points that can adiabatically permute arbitrary quasinormal-mode overtones.

  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. Exceptional line and pseudospectrum in black hole spectroscopy

    gr-qc 2025-11 conditional novelty 5.0 of 10

    A continuous line of exceptional points exists in the three-parameter space of a Gaussian-bump-perturbed Regge-Wheeler potential, with pseudospectral contour sizes scaling as ε^{1/2} at second-order EPs.

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