Gravitational-wave equation in effective one-body background for spinless binary

TL;DR

This paper develops a gravitational-wave equation within the effective one-body framework for spinless binary systems, applicable to spherically symmetric backgrounds, with specific gauge conditions based on metric perturbations.

Contribution

It introduces a gravitational-wave equation tailored for the effective one-body model of spinless binaries, expanding applicability to spherically symmetric backgrounds.

Findings

Derived the gravitational-wave equation in the effective one-body background.

Established gauge conditions using metric perturbations.

Applicable to general spherically symmetric backgrounds.

Abstract

We construct the gravitational-wave equation in the background of the effective one-body system for the spinless binary, which is in general available with the spherically symmetric background as well. The gauge conditions are given in terms of the metric perturbation.