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

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 ${k}_{\ensuremath{\ell}}$ and the gravitomagnetic Love numbers ${j}_{\ensuremath{\ell}}$ up to $\ensuremath{\ell}=5$. 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.