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Perturbations of spinning black holes in dynamical Chern-Simons gravity: Slow rotation quasinormal modes

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arxiv 2503.15606 v1 pith:K54ULRNU submitted 2025-03-19 gr-qc

Dongjun Li , Pratik Wagle , Yanbei Chen , Nicolás Yunes This is my paper · ORCID
classification gr-qc
keywords gravityblackmodifiedteukolskyequationsformalismholescalculations
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abstract

Gravitational waves offer new ways to test general relativity (GR) in the strong-field regime, including tests involving the ringdown phase of binary black hole mergers, characterized by oscillating and quickly decaying quasinormal modes (QNMs). Recent advances have extended QNM calculations to several theories beyond GR through the development of the modified Teukolsky formalism, including higher derivative gravity and dynamical Chern-Simons (dCS) gravity. Using the modified Teukolsky formalism, we previously derived radial second-order differential equations governing curvature and scalar field perturbations in dCS gravity at leading order in spin. In this work, we compute the QNM frequency shifts for slowly rotating black holes in dCS gravity from these modified Teukolsky equations, and (1) show that the radial equations for Weyl scalars $\Psi_{0,4}$ can be separated into even- and odd-parity parts, confirming that the scalar field couples only to the odd-parity sector; (2) extend the eigenvalue perturbation method to coupled fields; (3) compute the QNM spectrum, obtaining consistent results across independent calculations using different radiation gauges; (4) calculate the overtones in the QNM spectra for the first time in dCS gravity; (5) show that our findings align with previous metric perturbation studies and mark the first QNM spectrum calculation in a non-minimally coupled scalar-tensor theory via the modified Teukolsky formalism. This work lays the foundation for studying fast-rotating black holes in dCS gravity, advancing black hole spectroscopy in beyond-GR contexts.

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Cited by 7 Pith papers

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

  1. Schr\"odinger perturbation theory for black hole quasinormal modes

    gr-qc 2026-07 conditional novelty 7.0 of 10

    A bilinear-form framework computes black-hole quasinormal-mode frequency shifts to any order, but the mode-sum expansion of the first-order mode shift diverges and needs a continuum piece.

  2. Parametrized beyond-Teukolsky framework in the time domain

    gr-qc 2026-07 conditional novelty 6.0 of 10

    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...

  3. Computing spectral shifts for Johannsen-Psaltis black holes

    gr-qc 2025-12 conditional novelty 6.0 of 10

    Slowly rotating Johannsen–Psaltis black holes have definite-parity quasinormal modes with even/odd frequency shifts split by the deviation parameter, computed here through ℓ=10.

  4. Extreme mass-ratio inspiral within an ultralight scalar cloud I. Scalar radiation

    gr-qc 2025-07 conditional novelty 6.0 of 10

    Scalar radiation from an EMRI in an ultralight scalar cloud is computed semi-analytically, showing dipole clouds decelerate and quadrupole clouds accelerate the inspiral, with up to about 100 rad dephasing after 18 months.

  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.

  6. Extreme mass-ratio inspirals and extra dimensions: Insights from modified Teukolsky framework

    gr-qc 2025-07 conditional novelty 5.0 of 10

    A modified Teukolsky equation and the Dudley-Finley approximation give nearly the same LISA detectability bound for the braneworld tidal charge, with MTE mismatches growing faster for high-eccentricity EMRIs.

  7. Axial quasi-normal modes of slowly rotating black holes in dynamical Chern-Simons gravity to second-order in spin and coupling

    gr-qc 2025-06 conditional novelty 5.0 of 10

    For the n=0, l=m=2 axial ringdown mode, dynamical Chern-Simons gravity lowers the frequency and shortens the damping time, and the paper gives a polynomial fit for these shifts.

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