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Inspiral-merger-ringdown waveforms of spinning, precessing black-hole binaries in the effective-one-body formalism

Pan, Yi and Buonanno, Alessandra and Taracchini, Andrea and Kidder, Lawrence E. and Mroué, Abdul H. and Pfeiffer, Harald P. and Scheel, Mark A. and Szilágyi, Béla (2014) Inspiral-merger-ringdown waveforms of spinning, precessing black-hole binaries in the effective-one-body formalism. Physical Review D, 89 (8). Art. No. 084006. ISSN 2470-0010.

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We describe a general procedure to generate spinning, precessing waveforms that include inspiral, merger, and ringdown stages in the effective-one-body (EOB) approach. The procedure uses a precessing frame in which precession-induced amplitude and phase modulations are minimized, and an inertial frame, aligned with the spin of the final black hole, in which we carry out the matching of the inspiral-plunge to merger-ringdown waveforms. As a first application, we build spinning, precessing EOB waveforms for the gravitational modes ℓ=2 such that in the nonprecessing limit those waveforms agree with the EOB waveforms recently calibrated to numerical-relativity waveforms. Without recalibrating the EOB model, we then compare EOB and post-Newtonian precessing waveforms to two numerical-relativity waveforms produced by the Caltech-Cornell-CITA collaboration. The numerical waveforms are strongly precessing and have 35 and 65 gravitational-wave cycles. We find a remarkable agreement between EOB and numerical-relativity precessing waveforms and spins’ evolutions. The phase difference is ∼0.2  rad rad at merger, while the mismatches, computed using the advanced-LIGO noise spectral density, are below 2% when maximizing only on the time and phase at coalescence and on the polarization angle.

Item Type:Article
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URLURL TypeDescription DOIArticle
Kidder, Lawrence E.0000-0001-5392-7342
Pfeiffer, Harald P.0000-0001-9288-519X
Additional Information:© 2014 American Physical Society. Received 1 August 2013; published 2 April 2014. We thank Anıl Zenginoğlu, Geoffrey Lovelace, and Mike Boyle for their contributions to the productions of the NR waveforms used in this paper. A. B., Y. P., and A. T. acknowledge partial support from NSF Grants No. PHY-0903631 and No. PHY-1208881. A. B. also acknowledges partial support from the NASA Grant No. NNX12AN10 G. A. M. and H. P. gratefully acknowledge support from NSERC of Canada, the Canada Chairs Program, and the Canadian Institute for Advanced Research. L. K. gratefully acknowledges support from the Sherman Fairchild Foundation and from NSF Grants No. PHY-0969111 and No. PHY-1005426. Simulations used in this work were computed with the SpEC code [75]. Computations were performed on the Zwicky cluster at Caltech, which is supported by the Sherman Fairchild Foundation and by NSF Award No. PHY-0960291, on the NSF XSEDE network under Grant No. TG-PHY990007N, and on the GPC supercomputer at the SciNet HPC Consortium [76]. SciNet is funded by the Canada Foundation for Innovation under the auspices of Compute Canada, the Government of Ontario, Ontario Research Fund–Research Excellence, and the University of Toronto.
Funding AgencyGrant Number
Canada Chairs ProgramUNSPECIFIED
Canadian Institute for Advanced ResearchUNSPECIFIED
Sherman Fairchild FoundationUNSPECIFIED
NSF XSEDE networkTG-PHY990007N
Canada Foundation for Innovation under the auspices of Compute CanadaUNSPECIFIED
Government of OntarioUNSPECIFIED
Ontario Research Fund–Research ExcellenceUNSPECIFIED
University of TorontoUNSPECIFIED
Issue or Number:8
Classification Code:PACS: 04.25.D-, 04.25.dg, 04.25.Nx, 04.30.-w
Record Number:CaltechAUTHORS:20140611-135106521
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Official Citation:Inspiral-merger-ringdown waveforms of spinning, precessing black-hole binaries in the effective-one-body formalism Yi Pan, Alessandra Buonanno, Andrea Taracchini, Lawrence E. Kidder, Abdul H. Mroué, Harald P. Pfeiffer, Mark A. Scheel, and Béla Szilágyi Phys. Rev. D 89, 084006 (2014) – Published 2 April 2014
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:46214
Deposited By: Ruth Sustaita
Deposited On:11 Jun 2014 21:14
Last Modified:09 Mar 2020 13:19

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