Gravitational waveforms for spinning compact binaries

TL;DR

This paper develops a detailed model of gravitational waveforms emitted by spinning compact binaries on eccentric orbits, incorporating spin-orbit interactions and higher-order corrections to improve waveform accuracy.

Contribution

It introduces a parameterization-independent method to evaluate gravitational wave polarization states for spinning binaries with eccentric orbits, including equations of motion and higher-order corrections.

Findings

Derived formal expressions for polarization states with higher order corrections

Included spin-orbit interactions up to 1.5 post-Newtonian order

Provided a comprehensive framework for eccentric binary waveform modeling

Abstract

The rotation of the bodies and the eccentricity of the orbit have significant effects on the emitted gravitational radiation of binary systems. This work focuses on the evaluation of the gravitational wave polarization states for spinning compact binaries. We consider binaries on eccentric orbits and the spin-orbit interaction up to the 1.5 post-Newtonian order in a way which is independent of the parameterization of the orbit. The equations of motion for angular variables are included. The formal expressions of the polarization states are given with the inclusion of higher order corrections to the waveform.