Gravitomagnetic tidal effects in gravitational waves from neutron star binaries

Abstract

1 The universality (body-independence) of the dynamics holds for the contributions which are separately linear in each body's spin, including not only the "spin-orbit" terms which are linear in one spin but also the S 1 -S 2 terms, which should be classified here as part of the "linear-in-spin" dynamics.

Post-Newtonian Lagrangian of an N-body System with Arbitrary Mass and Spin Multipoles

“…that coincides exactly with the corresponding Lagrangian derived recently by Banihashemi and Vines [130,Eq. 29].…”

Interpreting binary neutron star mergers: describing the binary neutron star dynamics, modelling gravitational waveforms, and analyzing detections

“…From Eq. (41) in the interior we obtain y in (R). The density discontinuity introduces a correction to y just outside the star y out given by…”

“…Despite the improvement, including the computation of higher-order tidal corrections, dynamical tidal effects, and spin-tidal couplings, e.g., Refs. [15,41,164,283,321,419], the performance of Post-Newtonian (PN) waveform approximants becomes increasingly inaccurate towards the merger, e.g. [68,184,190,209,276,477,544], which shows the need for possible alternatives.…”

Tidal deformability and gravitational-wave phase evolution of magnetised compact-star binaries

“…In general, the corrections to the phase evolution of odd-parity tidal deformabilities appear at one post-Newtonian order higher than to the corresponding even-parity ones, i.e., the corrections to the phase evolution from the even-and odd-parity tidal deformabilities appear at 5PN and 6PN, respectively. A different behaviour is seen for the GW amplitudes, where the corrections to the mode amplitudes from the evenand odd-parity tidal deformabilities appear at 6PN and 5PN, respectively [37]. On the hand, for some modes, e.g., h 21 or h 32 the contributions start at the same leading post-Newtonian order, i.e., 5PN [37].…”

“…A different behaviour is seen for the GW amplitudes, where the corrections to the mode amplitudes from the evenand odd-parity tidal deformabilities appear at 6PN and 5PN, respectively [37]. On the hand, for some modes, e.g., h 21 or h 32 the contributions start at the same leading post-Newtonian order, i.e., 5PN [37].…”