Theory-agnostic Reconstruction of Potential and Couplings from Quasi-Normal Modes

Abstract

In this work, we use a parametrized theory-agnostic approach that connects the observation of black hole quasi-normal modes with the underlying perturbation equations, with the goal of reconstructing the potential and the coupling functions appearing in the latter. The fundamental quasi-normal mode frequency and its first two overtones are modeled through a second order expansion in the deviations from general relativity, which are assumed to be small but otherwise generic. By using a principal component analysis, we demonstrate that percent-level measurements of the fundamental mode and its overtones can be used to constrain the effective potential of tensor perturbations and the coupling functions between tensor modes and ones of different helicity, without assuming an underlying theory. We also apply our theory-agnostic reconstruction framework to analyze simulated quasi-normal mode data produced within specific theories extending general relativity, such as Chern-Simons gravity.

13 pages, 8 figures

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Cited by in corpus (19)

• Agnostic black hole spectroscopy: Quasinormal mode content of numerical relativity waveforms and limits of validity of linear perturbation theory
• Quasi-normal modes of rotating black holes in Einstein-dilaton Gauss-Bonnet gravity: the second order in rotation
• An approach to computing spectral shifts for black holes beyond Kerr
• Role of black hole quasinormal mode overtones for ringdown analysis
• Constraining modifications of black hole perturbation potentials near the light ring with quasinormal modes
• Quasi-normal modes of non-separable perturbation equations: the scalar non-Kerr case
• Systematic biases due to waveform mismodeling in parametrized post-Einsteinian tests of general relativity: The impact of neglecting spin precession and higher modes
• A parametrized quasi-normal mode framework for non-Schwarzschild metrics
• Parametrized Black Hole Quasinormal Ringdown Formalism for Higher Overtones
• General black-hole metric mimicking Schwarzschild spacetime
• Black-hole spectroscopy: quasinormal modes, ringdown stability and the pseudospectrum
• Measuring deviations from the Kerr geometry with black hole ringdown
• Bounds on tidal charges from gravitational-wave ringdown observations
• Confronting general relativity with principal component analysis: Simulations and results from GWTC-3 events
• Ringdown spectroscopy of phenomenologically modified black holes
• An analytic approach to quasinormal modes for coupled linear systems
• Parameterized quasinormal frequencies and Hawking radiation for axial gravitational perturbations of a holonomy-corrected black hole
• Probing higher curvature gravity via ringdown with overtones
• Spectral instability of parametrized black hole quasinormal modes in the high-overtone limit via the exact WKB analysis