Damour, Thibault and Nagar, Alessandro and Pollney, Denis and Reisswig, Christian (2012) Energy Versus Angular Momentum in Black Hole Binaries. Physical Review Letters, 108 (13). Art. No. 131101. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:20120420-135227059
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Using accurate numerical-relativity simulations of (nonspinning) black-hole binaries with mass ratios 1:1, 2:1, and 3:1, we compute the gauge-invariant relation between the (reduced) binding energy E and the (reduced) angular momentum j of the system. We show that the relation E(j) is an accurate diagnostic of the dynamics of a black-hole binary in a highly relativistic regime. By comparing the numerical-relativity E^(NR)(j) curve with the predictions of several analytic approximation schemes, we find that, while the canonically defined, nonresummed post-Newtonian–expanded E^(PN)(j) relation exhibits large and growing deviations from E^(NR)(j), the prediction of the effective one body formalism, based purely on known analytical results (without any calibration to numerical relativity), agrees strikingly well with the numerical-relativity results.
|Additional Information:||© 2012 American Physical Society. Received 13 October 2011; published 28 March 2012. We thank Sascha Husa for assistance in computing low eccentricity initial data. D. P. was supported by Grants No. CSD2007-00042 and No. FPA2010-16495 of the Spanish Ministry of Science. C. R. was supported by the National Science Foundation under Grants No. AST-0855535 and No. OCI-0905046. Computations were performed on the NSF Teragrid (allocations TG-MCA02N014 and TG-PHY100033), the LONI network (www.loni.org) (allocation loni_numrel05), and the Caltech computer cluster Zwicky (NSF MRI Grant No. PHY-0960291).|
|Classification Code:||PACS: 04.30.Db, 04.25.Nx, 95.30.Sf|
|Official Citation:||Energy Versus Angular Momentum in Black Hole Binaries Thibault Damour, Alessandro Nagar, Denis Pollney, and Christian Reisswig Published 28 March 2012 (4 pages) 131101|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Ruth Sustaita|
|Deposited On:||20 Apr 2012 21:10|
|Last Modified:||26 Dec 2012 15:06|
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