Inferring the dense nuclear matter equation of state with neutron star tides

During the late stages of a neutron star binary inspiral finite-size effects come into play, with tidal deformability supranuclear density matter leaving an imprint on gravitational-wave signal. As demonstrated in case GW170817—the first direct detection gravitational waves from binary—this can lead to strong constraints equation state. detectors become more sensitive, which may have smaller influence need be taken consideration. Dynamical effects, such as oscillation mode resonances triggered by orbital motion, been shown contribute deformability, especially close coalesence, where current are most sensitive. We calculate contribution various stellar modes and demonstrate (anticipated) dominance fundamental mode. show what impact composition is well changes induced realistic additions problem, e.g. presence elastic crust. Finally, based this formulation, we develop simple phenomenological model describing effective stars that it provides surprisingly accurate representation dynamical tide merger.