A parametrized quasi-normal mode framework for non-Schwarzschild metrics

TL;DR

This paper extends a parametrized quasi-normal mode framework to non-Schwarzschild metrics, introducing additional coefficients for background deviations, simplifying parameter estimation in gravitational wave analysis.

Contribution

It introduces a reformulated framework with real coefficients for non-Schwarzschild backgrounds, reducing parameter complexity in gravitational wave modeling.

Findings

Coefficients are real and independent of overtone number and angular momentum.

Framework simplifies parameter estimation for non-Schwarzschild metrics.

Enhanced ability to detect deviations from General Relativity in gravitational wave data.

Abstract

In this work we comment in more detail on what happens to the parametrized framework first presented by Cardoso et al. when there are departures from the Schwarzschild background metric, as well as possible deviations in the "dynamics". We treat possible deviations in the background metric with additional coefficients with respect to the original works. The advantages of this reformulation are clear when applied to a parameter estimation problem, since the coefficients are always real, and many of them do not depend on the overtone number and angular momentum of the frequency, thus eventually reducing the total amount of parameters to be inferred.