Gravitational Wave Perturbations on a Kerr Background and Applications for Echoes

TL;DR

This paper develops a method to generate more realistic gravitational wave echo templates from initial conditions, aiding the search for physics beyond general relativity.

Contribution

It introduces a procedure to produce physically motivated echo templates by calculating the modulated transfer function from initial conditions.

Findings

Provides a new approach for modeling gravitational wave echoes.

Enhances the physical realism of echo templates used in data analysis.

Facilitates more accurate tests of theories beyond general relativity.

Abstract

Gravitational wave echoes may imply physics beyond general relativity; however, several approaches to searching for echoes require fitting the data to toy templates which are not physically motivated. Here, I create a procedure which outputs a more realistic form for echoes, starting from initial conditions, by calculating the modulated transfer function.