2017/08/11 by A. K. Mehta, Ajit Kumar Mehta, Chandra Kant Mishra +4 · 40 citations
Engineering · Physics and Astronomy · #Astrophysical Phenomena and Observations #Astrophysics #Atomic physics #Binary black hole #Binary number #Black hole (networking) #Computational physics #Fourier transform #Geophysics and Sensor Technology #Gravitational wave #Harmonics #LIGO #Mass ratio #Numerical relativity #Physics #Pulsars and Gravitational Waves Research #Quadrupole #Quantum mechanics #Waveform #gr-qc
paper · pdf · doi:10.1103/physrevd.96.124010
published in Physical review. D/Physical review. D. 96(12) (American Physical Society) · 10 pages, 5 figures
arxiv created 2017/08/11 · openalex publication_date 2017/12/11 · arxiv updated 2017/12/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
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 [(\ensuremathℓ=2,m=\ifmmode±\else\textpm\fi1),(\ensuremathℓ=3,m=\ifmmode±\else\textpm\fi3),(\ensuremathℓ=4,m=\ifmmode±\else\textpm\fi4) apart from (\ensuremathℓ=2,m=\ifmmode±\else\textpm\fi2)]. 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 \ensuremath≃10^\ensuremath-4--10^\ensuremath-2) for observation of GWs from nonspinning black-hole binaries and are extremely inexpensive to generate.