Are Post-Newtonian templates faithful and effectual in detecting gravitational signals from neutron star binaries?

TL;DR

This paper evaluates how well Post-Newtonian templates match gravitational signals from neutron star binaries, considering effects of neutron star structure, to improve detection accuracy.

Contribution

It introduces a detailed analysis of the faithfulness and effectualness of PN templates for neutron star binaries, incorporating stellar structure effects.

Findings

PN templates are generally effective but sensitive to neutron star internal structure.

Matched filtering can potentially extract neutron star internal structure effects.

Effectiveness varies with different stellar models and detector sensitivities.

Abstract

We compute the overlap function between Post-Newtonian (PN) templates and gravitational signals emitted by binary systems composed of one neutron star and one point mass, obtained by a perturbative approach. The calculations are performed for different stellar models and for different detectors, to estimate how effectual and faithful the PN templates are, and to establish whether effects related to the internal structure of neutron stars may possibly be extracted by the matched filtering technique.