Effective One Body description of tidal effects in inspiralling compact binaries

TL;DR

This paper extends the effective one body (EOB) formalism to include tidal effects in neutron star binaries, aiming to improve gravitational wave modeling and extract nuclear equation of state information from late inspiral signals.

Contribution

The paper introduces a tidal extension of the EOB formalism and compares it with numerical sequences and post-Newtonian models, highlighting the importance of higher-order corrections.

Findings

Higher-order tidal corrections significantly increase effective tidal polarizability.

EOB predictions are sensitive to the analytical model used.

A calibrated EOB model could provide reliable insights into neutron star physics.

Abstract

The late part of the gravitational wave signal of binary neutron star inspirals can in principle yield crucial information on the nuclear equation of state via its dependence on relativistic tidal parameters. In the hope of analytically describing the gravitational wave phasing during the late inspiral (essentially up to contact) we propose an extension of the effective one body (EOB) formalism which includes tidal effects. We compare the prediction of this tidal-EOB formalism to recently computed nonconformally flat quasi-equilibrium circular sequences of binary neutron star systems. Our analysis suggests the importance of higher-order (post-Newtonian) corrections to tidal effects, even beyond the first post-Newtonian order, and their tendency to {\it significantly} increase the ``effective tidal polarizability'' of neutron stars. We compare the EOB predictions to some recently advocated, nonresummed, post-Newtonian based (``Taylor-T4'') description of the phasing of inspiralling systems. This comparison shows the strong sensitivity of the late-inspiral phasing to the choice of the analytical model, but raises the hope that a sufficiently accurate numerical--relativity--``calibrated'' EOB model might give us a reliable handle on the nuclear equation of state