Full-analytic frequency-domain 1pN-accurate gravitational wave forms from eccentric compact binaries

TL;DR

This paper presents ready-to-use, 1pN-accurate frequency-domain gravitational waveforms for eccentric nonspinning compact binaries, incorporating first post-Newtonian corrections and radiation reaction effects.

Contribution

It introduces a comprehensive method to generate frequency-domain waveforms with 1pN accuracy for eccentric binaries, including amplitude corrections and decay dynamics.

Findings

Provides explicit frequency-domain waveforms with 1pN accuracy.

Includes radiation reaction effects on eccentricity and frequency.

Enables improved gravitational wave data analysis for eccentric systems.

Abstract

The article provides ready-to-use 1pN-accurate frequency-domain gravitational wave forms for eccentric nonspinning compact binaries of arbitrary mass ratio including the first post-Newtonian (1pN) point particle corrections to the far-zone gravitational wave amplitude, given in terms of tensor spherical harmonics. The averaged equations for the decay of the eccentricity and growth of radial frequency due to radiation reaction are used to provide stationary phase approximations to the frequency-domain wave forms.