A general-relativistic calculation of the quadratic tidal constant p2 for polytropic neutron stars shows that nonlinear tides lower the effective dynamical resonance frequency by 10 to 15 percent, confirming Newtonian mode-based results without using normal modes.
A Comparison of p-g Tidal Coupling Analyses
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abstract
Two recent studies have attempted to constrain the proposed $p$-$g$ tidal instability with gravitational-wave data from GW170817. The studies use Bayesian methods to compare a model that includes $p$-$g$ tidal effects with one that does not. Using the same data, they arrive at very different conclusions. Reyes & Brown find that the observations of GW170817 strongly disfavor the existence of $p$-$g$ mode coupling. However, the LIGO and Virgo Collaborations find that neither model is strongly favored. We investigate the origin of this discrepancy by analyzing Reyes & Brown's publicly available posterior samples. Contrary to their claims, we find that their samples do not disfavor $p$-$g$ mode coupling.
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Impact of nonlinearities on relativistic dynamical tides in compact binary inspirals
A general-relativistic calculation of the quadratic tidal constant p2 for polytropic neutron stars shows that nonlinear tides lower the effective dynamical resonance frequency by 10 to 15 percent, confirming Newtonian mode-based results without using normal modes.