Impact of nonlinearities on relativistic dynamical tides in compact binary inspirals

Tidal deformations of neutron stars in binary inspiral leave an imprint on gravitational-wave emissions. Dynamical tides -- in which the timescales of the tidal field and the internal hydrodynamics of neutron stars are comparable -- display rich nonlinear phenomena only recently uncovered in the framework of Newtonian gravity. In this paper, an intrinsically general relativistic approach is developed eschewing the modal description of Newtonian theory. The nonlinearities of dynamical tides now find an inherently relativistic expression.