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.

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

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• Impact of updated Multipole Love numbers and f-Love Universal Relations in the context of Binary Neutron Stars
• ${}^1$S${}_0$ pairing gaps, chemical potential and entrainment matrix in superfluid neutron-star cores for the Brussels-Montreal functionals
• Accreting neutron stars from the nuclear energy-density functional theory. II. Equation of state and global properties
• Detectability of Massive Boson Stars using Gravitational Waves from Fundamental Oscillations
• Universal relations between the quasinormal modes of neutron stars and magnetic tidal deformability
• Role of particle diffusion in shaping the gravitational wave signal from neutron star inspirals