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

摘要

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 nonquadrupolemodes [(ℓ = 2,m = ± 1), (ℓ = 3,m = ± 3),(ℓ = 4,m = ± 4)apart from (ℓ = 2,m = ± 2)]. We firstconstruct spin-weighted spherical harmonics modes of hybrid waveforms by matching numerical-relativitysimulations (with mass ratio 1–10) describing the late inspiral, merger, and ringdown of the binary withpost-Newtonian/effective-one-body waveforms describing the early inspiral. An analytical waveformfamily is constructed in frequency domain by modeling the Fourier transform of the hybrid waveformsmaking 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 fromnonspinning black-hole binaries and are extremely inexpensive to generate.