Role of dense matter in tidal deformations of inspiralling neutron stars and in gravitational waveform 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 $k_{\ell }$ 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.

Comments: 35 pages, 25 figures, accepted for publication in Physical Review C