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Published December 15, 2017 | Supplemental Material + Published + Submitted
Journal Article Open

Accurate inspiral-merger-ringdown gravitational waveforms for nonspinning black-hole binaries including the effect of subdominant modes


We present an analytical waveform family describing gravitational waves (GWs) from the inspiral, merger, and ringdown of nonspinning black-hole binaries including the effect of several nonquadrupole modes [(ℓ = 2,m = ±1),(ℓ = 3,m = ±3),(ℓ = 4,m = ±4) apart from (ℓ = 2,m = ±2)]. We first construct spin-weighted spherical harmonics modes of hybrid waveforms by matching numerical-relativity simulations (with mass ratio 1–10) describing the late inspiral, merger, and ringdown of the binary with post-Newtonian/effective-one-body waveforms describing the early inspiral. An analytical waveform family is constructed in frequency domain by modeling the Fourier transform of the hybrid waveforms making use of analytical functions inspired by perturbative calculations. The resulting highly accurate, ready-to-use waveforms are highly faithful (unfaithfulness ≃10^(−4)–10^(−2)) for observation of GWs from nonspinning black-hole binaries and are extremely inexpensive to generate.

Additional Information

© 2017 American Physical Society. Received 15 August 2017; published 11 December 2017. We are indebted to the SXS Collaboration for making a public catalog of numerical-relativity waveforms. We thank K. G. Arun, Bala Iyer, Sascha Husa, Mark Hannam, and Nathan Johnson-McDaniel for very useful discussions. P. A., A. K. M., and V. V. acknowledge support from the Indo-US Centre for the Exploration of Extreme Gravity funded by the Indo-US Science and Technology Forum (IUSSTF/JC-029/2016). In addition, P. A.'s research was supported by the AIRBUS Group Corporate Foundation through a chair in "Mathematics of Complex Systems" at the International Centre for Theoretical Sciences (ICTS), by a Ramanujan Fellowship from the Science and Engineering Research Board (SERB), India, by the SERB FastTrack fellowship SR/FTP/PS-191/2012, and by the Max Planck Society through a Max Planck Partner Group at ICTS. V. V.'s research was supported by NSF Grant No. PHY-1404569 to Caltech and the Sherman Fairchild Foundation. Computations were performed at the ICTS clusters Mowgli, Dogmatix, and Alice. This document has LIGO preprint number LIGO-P1700160-v3.

Attached Files

Published - PhysRevD.96.124010.pdf

Submitted - 1708.03501.pdf

Supplemental Material - PhenomCoeffs.dat


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August 19, 2023
October 17, 2023