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Parametrized ringdown spin expansion coefficients: a data-analysis framework for black-hole spectroscopy with multiple events

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arxiv 1910.12893 v2 pith:663GKMHN submitted 2019-10-28 gr-qc astro-ph.HE

classification gr-qcastro-ph.HE
keywords ringdownexpansionparametrizedspinblackblack-holecoefficientsholes
verification ladder T0 review T1 audit T2 compute T3 formal
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Black-hole spectroscopy is arguably the most promising tool to test gravity in extreme regimes and to probe the ultimate nature of black holes with unparalleled precision. These tests are currently limited by the lack of a ringdown parametrization that is both robust and accurate. We develop an observable-based parametrization of the ringdown of spinning black holes beyond general relativity, which we dub ParSpec (Parametrized Ringdown Spin Expansion Coefficients). This approach is perturbative in the spin, but it can be made arbitrarily precise (at least in principle) through a high-order expansion. It requires O(10) ringdown detections, which should be routinely available with the planned space mission LISA and with third-generation ground-based detectors. We provide a preliminary analysis of the projected bounds on parametrized ringdown parameters with LISA and with the Einstein Telescope, and discuss extensions of our model that can be straightforwardly included in the future.

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Cited by 4 Pith papers

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

  1. Functional inference on deviations from General Relativity

    gr-qc 2025-07 conditional novelty 6.0 of 10

    GRANITA reconstructs functional, parameter-dependent deviations from General Relativity in gravitational-wave data using Gaussian process regression with free node values.

  2. Test-Field vs Physical Quasi-Normal Modes in Scalar-Tensor Theories

    gr-qc 2025-05 conditional novelty 6.0 of 10

    Test-field QNM spectra of BCL black holes deviate strongly from physical axial gravitational QNM spectra at high overtones, while fundamental modes remain close.

  3. Constraining deviations from the Teukolsky equation with GW250114

    gr-qc 2026-07 conditional novelty 5.0 of 10

    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.

  4. Extended parameterized spin expansion formalism for ringdown analysis with GW250114

    gr-qc 2026-06 unverdicted novelty 5.0 of 10

    Simultaneously sampling the EFT scaling index p̃ and length scale ℓ̃ in ParSpec shows p̃ is prior-dominated and the ℓ̃ ~ 83 km bound is mostly prior geometry.

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