Fast post-adiabatic waveforms in the time domain: Applications to compact binary coalescences in LIGO and Virgo

Abstract

We present a computationally efficient (time-domain) multipolar waveform model for quasi-circular spin-aligned compact binary coalescences. The model combines the advantages of the numerical-relativity informed, effective-one-body (EOB) family of models with a post-adiabatic solution of the equations of motion for the inspiral part of the two-body dynamics. We benchmark this model against other state-of-the-art waveforms in terms of efficiency and accuracy. We find a speed-up of one to two orders of magnitude compared to the underlying time-domain EOB model for the total mass range $2-100M_{\odot }$. More specifically, for a low total-mass system, such as a binary neutron star with equal masses of $1.4M_{\odot }$, like GW170817, the computational speedup is around 100 times; for an event with total mass $\sim 40M_{\odot }$ and mass ratio $\sim 3$, like GW190412, the speedup is by a factor of $\sim 20$, while for a binary system of comparable masses and total mass of $\sim 70M_{\odot }$, like GW150914, it is by a factor of $\sim 10$. We demonstrate that the new model is extremely faithful to the underlying EOB model with unfaithfulness less than $0.01\%$ across the entire applicable region of parameter space. Finally, we present successful applications of this new waveform model to parameter estimation studies and tests of general relativity.

13 pages, 8 figures

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