Taracchini, Andrea and Pan, Yi and Buonanno, Alessandra and Barausse, Enrico and Boyle, Michael and Chu, Tony and Lovelace, Geoffrey and Pfeiffer, Harald P. and Scheel, Mark A. (2012) Prototype effective-one-body model for nonprecessing spinning inspiral-merger-ringdown waveforms. Physical Review D, 86 (2). Art. No. 024011. ISSN 0556-2821 http://resolver.caltech.edu/CaltechAUTHORS:20120807-071339043
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This paper presents a tunable effective-one-body (EOB) model for black-hole (BH) binaries of arbitrary mass ratio and aligned spins. This new EOB model incorporates recent results of small-mass-ratio simulations based on Teukolsky’s perturbative formalism. The free parameters of the model are calibrated to numerical-relativity simulations of nonspinning BH-BH systems of five different mass ratios and to equal-mass nonprecessing BH-BH systems with dimensionless BH spins χ_i≃±0.44. The present analysis focuses on the orbital dynamics of the resulting EOB model, and on the dominant (ℓ,m)=(2,2) gravitational-wave mode. The calibrated EOB model can generate inspiral-merger-ringdown waveforms for nonprecessing, spinning BH binaries with any mass ratio and with individual BH spins -1≤χ_i≲0.7. Extremizing only over time and phase shifts, the calibrated EOB model has overlaps larger than 0.997 with each of the seven numerical-relativity waveforms for total masses between 20M_⊙ and 200M_⊙, using the Advanced LIGO noise curve. We compare the calibrated EOB model with two additional equal-mass highly spinning (χ_i≃-0.95,+0.97) numerical-relativity waveforms, which were not used during calibration. We find that the calibrated model has an overlap larger than 0.995 with the simulation with nearly extremal antialigned spins. Extension of this model to black holes with aligned spins χ_i≳0.7 requires improvements of our modeling of the plunge dynamics and inclusion of higher-order PN spin terms in the gravitational-wave modes and radiation-reaction force.
|Additional Information:||© 2012 American Physical Society. Received 17 February 2012; published 5 July 2012. E.B., A.B., Y. P. and A.T. acknowledge support from NSF Grants No. PHY-0903631. A.B. also acknowledges support from NASA Grant No. NNX09AI81G. T.C., G.L., M.B., and M. S. are supported in part by grants from the Sherman Fairchild Foundation to Caltech and Cornell, and from the Brinson Foundation to Caltech; by NSF Grants No. PHY-0601459 and No. PHY-0652995 at Caltech; by NASA Grant No. NNX09AF97G at Caltech; by NSF Grants No. PHY-0652952 and No. PHY-0652929 at Cornell; and by NASA Grant No. NNX09AF96G at Cornell. H. P. gratefully acknowledges support from the NSERC of Canada, from Canada Research Chairs Program, and from the Canadian Institute for Advanced Research. E.B. acknowledges support from a CITA National Fellowship at the University of Guelph.|
|Classification Code:||PACS: 04.25.D-, 04.25.dg, 04.25.Nx, 04.30.-w|
|Official Citation:||Prototype effective-one-body model for nonprecessing spinning inspiral-merger-ringdown waveforms Andrea Taracchini, Yi Pan, Alessandra Buonanno, Enrico Barausse, Michael Boyle, Tony Chu, Geoffrey Lovelace, Harald P. Pfeiffer, and Mark A. Scheel Published 5 July 2012 (20 pages) 024011|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Ruth Sustaita|
|Deposited On:||07 Aug 2012 14:36|
|Last Modified:||26 Dec 2012 15:51|
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