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Quasinormal mode frequencies and gravitational perturbations of spinning black holes in modified gravity through METRICS: The dynamical Chern-Simons gravity case

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arxiv 2503.11759 v2 pith:L5WVXBNY submitted 2025-03-14 gr-qc astro-ph.HEastro-ph.IM

Adrian Ka-Wai Chung , Kelvin Ka-Ho Lam , Nicolas Yunes This is my paper · ORCID
classification gr-qcastro-ph.HEastro-ph.IM
keywords frequenciesgravitymetricschern-simonsdynamicallesssimperturbationsblack
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present the first precise calculations of the gravitational quasinormal-mode (QNM) frequencies for spinning black holes with dimensionless angular momenta $J/M^2 := a \lesssim 0.75$ in dynamical Chern-Simons gravity. Using the \textit{Metric pErTuRbations wIth speCtral methodS} (METRICS) framework, we compute the QNM frequencies of both axial and polar metric perturbations, focusing on the $nl m = 022$, $033$, and $032$ modes. The METRICS frequencies for the 022 mode achieve numerical uncertainties $\lesssim 10^{-4}$ when $0 \leq a \leq 0.5$ and $\lesssim 10^{-3}$ for $0.5 \leq a \leq 0.75$, without decoupling or simplifying the linearized field equations. We also derive optimal fitting polynomials to enable efficient and accurate evaluations of the leading-order frequency shifts in these modes. The METRICS frequencies and fitting expressions are a robust and indispensable step toward enabling gravitational-wave ringdown tests of dynamical Chern-Simons gravity.

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Cited by 6 Pith papers

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

  1. Living on the Edge of Effective Field Theory: Near-Extremal Black Holes in Quadratic Gravity

    gr-qc 2026-08 conditional novelty 8.0 of 10

    Near-extremal black holes in dynamical Chern-Simons gravity have a regular extremal endpoint matching the deformed near-horizon Kerr throat, while in scalar Gauss-Bonnet gravity the extremal throat is disconnected fro...

  2. 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.

  3. Spacetime of rotating black holes surrounded by massive scalar charges

    gr-qc 2026-02 conditional novelty 6.0 of 10

    Spectral methods construct leading-order spinning black-hole spacetimes with massive scalar hair for spin a≤0.8 and scalar mass µ≤0.2/M.

  4. 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.

  5. Parity violating spectral dynamics of black holes in dynamical Chern-Simons gravity

    gr-qc 2025-11 conditional novelty 6.0 of 10

    In dynamical Chern-Simons gravity, an environmental potential bump reshapes black hole quasinormal-mode spectra, producing branch reconnections, a delayed overtaking instability, and scalar-mode-dominated ringdown tha...

  6. 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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