Detection of gravitational waves from inspiraling compact binaries using non-restricted post-Newtonian approximations

TL;DR

This paper explores the impact of incorporating post-Newtonian corrections into both the phase and amplitude of gravitational wave templates for better detection and parameter estimation of inspiraling compact binaries.

Contribution

It introduces a method to include post-Newtonian corrections in amplitude modeling, extending beyond the traditional restricted approximation.

Findings

Post-Newtonian amplitude corrections affect signal detection efficiency.

Enhanced parameter estimation accuracy with full post-Newtonian modeling.

Implications for gravitational wave data analysis methods.

Abstract

The set up of matched filters for the detection of gravitational waves from in-spiraling compact binaries is usually carried out using the restricted post-Newtonian approximation: the filter phase is modelled including post-Newtonian corrections, whereas the amplitude is retained at the Newtonian order. Here we investigate the effects of the introduction of post-Newtonian corrections also to the amplitude and we discuss some of the implications for signal detection and parameter estimation.