Propagation of gravitational waves from slow motion sources in a Coulomb type potential

TL;DR

This paper derives a formula for gravitational wave propagation from slow-moving sources in a Coulomb-like potential, including tail effects, using spherical Coulomb functions, and compares it with previous results.

Contribution

It introduces a new derivation of gravitational waveforms in Coulomb potentials using spherical Coulomb functions, highlighting differences with earlier formulas.

Findings

Derived gravitational waveform formula including tail effects.

Established relation with previous gravitational wave formulas.

Provided a straightforward derivation method using spherical Coulomb functions.

Abstract

We consider the propagation of gravitational waves generated by slow motion sources in Coulomb type potential due to the mass of the source. Then, the formula for gravitational waveform including tail is obtained in a straightforward manner by using the spherical Coulomb function. We discuss its relation with the formula in the previous work.