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Sparse Representations of Gravitational Waves from Precessing Compact Binaries

Blackman, Jonathan and Szilágyi, Béla and Galley, Chad R. and Tiglio, Manuel (2014) Sparse Representations of Gravitational Waves from Precessing Compact Binaries. Physical Review Letters, 113 (2). Art. No. 021101. ISSN 0031-9007.

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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.

Item Type:Article
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URLURL TypeDescription Paper
Blackman, Jonathan0000-0002-7113-0289
Additional Information:© 2014 American Physical Society. Received 29 January 2014; Published 7 July 2014. We thank Scott Field and Rory Smith for comments and discussions. We thank Michael Boyle for permission to use his Triton code for solving precessing PN waveforms, now replaced by his public open source code available from [38]. We have also used the LAL (LSC Algorithm Library) EOB code version [39]. This project was supported in part by the Fairchild Foundation, NSF Grants No. PHY-1068881, No. CAREER PHY-0956189, and No. PHY-1005655 to Caltech, NASA Grant No. NNX10AC69G, and NSF Grants No. PHY-1208861, No. PHY-1316424, and No. PHY-1005632 to the University of Maryland. Computations were performed on the Zwicky cluster at Caltech, which is supported by the Sherman Fairchild Foundation and by NSF Grant No. PHY-0960291. This work used NSF XSEDE resources under allocation No. TG-PHY990007N.
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Sherman Fairchild FoundationUNSPECIFIED
Issue or Number:2
Classification Code:PACS numbers: 04.25.dg, 04.25.Nx, 04.30.Db
Record Number:CaltechAUTHORS:20140818-114224312
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Official Citation:Blackman, J., Szilagyi, B., Galley, C. R., & Tiglio, M. (2014). Sparse Representations of Gravitational Waves from Precessing Compact Binaries. Physical Review Letters, 113(2), 021101.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:48656
Deposited By: Joanne McCole
Deposited On:19 Aug 2014 21:23
Last Modified:09 Mar 2020 13:18

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