Relativistic effects on neutron star fundamental-mode dynamical tides

During the final stage of the coalescence of a black hole-neutron star system, the tidal excitation of the quasi-normal modes of the neutron star can leave significant imprints on gravitational waves. Understanding this process and building a robust theoretical model is important for extracting neutron star properties from gravitational-wave data. In this talk, we will discuss how the quasi-normal modes of the neutron star in the binary environment are modified by relativistic effects, including the gravitational redshift and the frame-dragging due to the spin on the black hole. We investigate the impact of these two relativistic effects on gravitational waves by incorporating them in the SEOBNRv4T waveform model. We compare this new model with a few new black hole-neutron star simulations that are performed using a numerical relativity code Spectral Einstein Code.