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Parametrized black hole quasinormal ringdown. II. Coupled equations and quadratic corrections for nonrotating black holes

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arxiv 1906.05155 v3 pith:PGE4FGEV submitted 2019-06-12 gr-qc astro-ph.HE

Ryan McManus , Emanuele Berti , Caio F. B. Macedo , Masashi Kimura , Andrea Maselli , Vitor Cardoso This is my paper · ORCID
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keywords equationsquasinormalwavecorrectionscoupledfieldgeneralradial
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Linear perturbations of spherically symmetric spacetimes in general relativity are described by radial wave equations, with potentials that depend on the spin of the perturbing field. In previous work we studied the quasinormal mode spectrum of spacetimes for which the radial potentials are slightly modified from their general relativistic form, writing generic small modifications as a power-series expansion in the radial coordinate. We assumed that the perturbations in the quasinormal frequencies are linear in some perturbative parameter, and that there is no coupling between the perturbation equations. In general, matter fields and modifications to the gravitational field equations lead to coupled wave equations. Here we extend our previous analysis in two important ways: we study second-order corrections in the perturbative parameter, and we address the more complex (and realistic) case of coupled wave equations. We highlight the special nature of coupling-induced corrections when two of the wave equations have degenerate spectra, and we provide a ready-to-use recipe to compute quasinormal modes. We illustrate the power of our parametrization by applying it to various examples, including dynamical Chern-Simons gravity, Horndeski gravity and an effective field theory-inspired model.

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Cited by 11 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Resonance of black hole quasinormal modes in coupled systems

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    A new basis-invariant excitation factor for coupled black hole perturbation systems shows resonant amplification at avoided crossings between fundamental modes of different fields in the Einstein-Maxwell-axion theory.

  2. Running Love Numbers and the Effective Field Theory of Gravity

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    Higher-derivative gravity corrections induce non-zero, classically running tidal Love numbers for black holes, computed here with a new tidal Green function method.

  3. Parametrized beyond-Teukolsky framework in the time domain

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    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...

  4. 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.

  5. Ringdown Analysis of Rotating Black Holes in Effective Field Theory Extensions of General Relativity

    gr-qc 2024-11 conditional novelty 6.0 of 10

    No evidence of higher-derivative EFT corrections in black hole ringdown spectra from GWTC-3; new physics length scale constrained to ℓ ≲ 35 km.

  6. Discrete symmetries of modified Teukolsky equations

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    Complex modifications of the Teukolsky potential break m=0 QNM degeneracy and can inject non-physical mode branches when frequency-domain multipole-dependent potentials are evolved in time.

  7. Constraining deviations from the Teukolsky equation with GW250114

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    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.

  8. Quasi-normal modes in non-perturbative quantum gravity

    hep-th 2024-12 conditional novelty 5.0 of 10

    Complex radial-dependent masses motivated by background-induced states shift Schwarzschild black-hole quasinormal-mode frequencies and can produce unstable modes in an ad hoc toy model.

  9. Eikonal Quality-Factor Parameterization of Model-Conditional Static Black-Hole Thermodynamics

    gr-qc 2026-07 accept novelty 4.0 of 10

    A quasinormal frequency ratio can invert a one-parameter black-hole family, and RN and static MOG are exactly isospectral for neutral test scalars with different Wald entropies.

  10. Quasinormal modes of black holes. II. Pad\'e summation of the higher-order WKB terms

    gr-qc 2019-08 conditional novelty 4.0 of 10

    High-order WKB series summed with Padé approximants reproduce black hole quasinormal frequencies, including overtones, to up to 24 decimal places.

  11. Probing the Nature of Black Holes: Deep in the mHz Gravitational-Wave Sky

    astro-ph.HE 2019-08 unverdicted novelty 3.0 of 10

    A gravitational wave observatory ten times more sensitive than LISA in the millihertz band would enable precision tests of general relativity, black hole horizons, exotic compact objects, ultralight bosons, and dark m...

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