Role of dense matter in tidal deformations of inspiralling neutron stars and in gravitational waveform with unified equations of state

TL;DR

This paper investigates how dense matter properties affect neutron star tidal deformability and gravitational wave signals, using unified equations of state to compute Love numbers and assess their impact on gravitational wave phases.

Contribution

It provides a detailed analysis of Love numbers up to =5 using unified equations of state, highlighting their sensitivity to dense matter properties and influence on gravitational wave signals.

Findings

Love numbers are sensitive to symmetry energy and matter stiffness.

Dense matter properties significantly affect tidal deformability.

Impact on gravitational wave phase evolution is quantified.

Abstract

The role of dense-matter properties in the tidal deformability of a cold nonaccreted neutron star is further investigated. Using the set of Brussels-Montreal unified equations of state, we have computed the gravitoelectric Love numbers $k_\ell$ and the gravitomagnetic Love numbers $j_\ell$ up to $\ell=5$. Their relative importance and their sensitivity to the symmetry energy and the neutron-matter stiffness are numerically assessed. Their impact on the phase of the gravitational-wave signal emitted by binary neutron star inspirals is also discussed.