title: Analytic modeling of tidal effects in the relativistic inspiral of binary neutron stars.
abstract: To detect the gravitational-wave (GW) signal from binary neutron stars and extract information about the equation of state of matter at nuclear density, it is necessary to match the signal with a bank of accurate templates. We present the two longest (to date) general-relativistic simulations of equal-mass binary neutron stars with different compactnesses, C=0.12 and C=0.14, and compare them with a tidal extension of the effective-one-body (EOB) model. The typical numerical phasing errors over the ≃22   GW cycles are Δϕ≃±0.24   rad. By calibrating only one parameter (representing a higher-order amplification of tidal effects), the EOB model can reproduce, within the numerical error, the two numerical waveforms essentially up to the merger. By contrast, the third post-Newtonian Taylor-T4 approximant with leading-order tidal corrections dephases with respect to the numerical waveforms by several radians.
authors.affiliation: Institute of Laser Engineering, Osaka University, Suita, Japan.
authors.forename: Luca
authors.initials: L
authors.lastname: Baiotti
authors.forename: Thibault
authors.initials: T
authors.lastname: Damour
authors.forename: Bruno
authors.initials: B
authors.lastname: Giacomazzo
authors.forename: Alessandro
authors.initials: A
authors.lastname: Nagar
authors.forename: Luciano
authors.initials: L
authors.lastname: Rezzolla