Constraints of the Neutron-Star Equation of State from the BNS Gravitational Wave Chirp

The first detection of gravitational waves from a binary neutron star merger GW170817 has provided fundamental new insights into the nature of dense neutron-star matter. The detected gravitational wave signal depends upon the tidal distortion of the neutron stars as they approach merger. In this talk I will examine how the detected chirp depends on the adopted equation of state. I will present new calculations of the chirp based upon direct hydrodynamic simulations. These simulations highlight the fact that the GW chirp implies a possible dilemma between the Nuclear EOS deduced from the Post-Newtonian analysis of the tidal polarizability and the observed properties of neutron-stars. I will discuss the possibility for further constraints on the tidal Polarizability and equation of state for neutron stars from the gravitational wave detection from the future KAGRA-LIGO-VIGO scientific collaboration.