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

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arxiv 2202.08655 v2 pith:ZR4BYCQT submitted 2022-02-17 gr-qc

Sebastian H. Völkel , Nicola Franchini , Enrico Barausse This is my paper · ORCID
classification gr-qc
keywords quasi-normalmodemodespotentialtheory-agnosticcouplingfunctionsfundamental
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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.

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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

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