2014/01/27 by Jonathan Blackman, Béla Szilágyi, Bela Szilagyi +2 · 1 citation
Mathematics · Physics and Astronomy · #Astrophysical Phenomena and Observations #Astrophysics #Basis (linear algebra) #Binary number #Computational physics #Context (archaeology) #Geometry #Gravitational wave #Mathematics #Numerical methods for differential equations #Parameter space #Parametrization (atmospheric modeling) #Phase space #Physics #Precession #Pulsars and Gravitational Waves Research #Quantum mechanics #Statistical physics #Waveform #gr-qc
paper · pdf · doi:10.1103/physrevlett.113.021101
published as Phys. Rev. Lett. 113, 021101 (2014) · 5 pages, 3 figures. The parameters selected for the basis of precessing waveforms can be found in the source files
arxiv created 2014/01/27 · openalex publication_date 2014/07/07 · arxiv updated 2014/07/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Many relevant applications in gravitational wave physics share a significant common problem: the seven-dimensional parameter space of gravitational waveforms from precessing compact binary inspirals and coalescences is large enough to prohibit covering the space of waveforms with sufficient density. We find that by using the reduced basis method together with a parametrization of waveforms based on their phase and precession, we can construct ultracompact yet high-accuracy representations of this large space. As a demonstration, we show that less than 100 judiciously chosen precessing inspiral waveforms are needed for 200 cycles, mass ratios from 1 to 10, and spin magnitudes ≤0.9. In fact, using only the first 10 reduced basis waveforms yields a maximum mismatch of 0.016 over the whole range of considered parameters. We test whether the parameters selected from the inspiral regime result in an accurate reduced basis when including merger and ringdown; we find that this is indeed the case in the context of a nonprecessing effective-one-body model. This evidence suggests that as few as ∼100 numerical simulations of binary black hole coalescences may accurately represent the seven-dimensional parameter space of precession waveforms for the considered ranges.