[1110.2938] Energy versus Angular Momentum in Black Hole Binaries

Authors: Thibault Damour, Alessandro Nagar, Denis Pollney, Christian Reisswig

Date: 13 Oct 2011

Abstract: 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 $Eˆ{\rm NR} (j)$ curve with the predictions of several analytic approximation schemes, we find that, while the usual, non-resummed post-Newtonian-expanded $Eˆ{\rm PN} (j)$ relation exhibits large and growing deviations from $Eˆ{\rm NR} (j)$, 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.

abs pdf

Oct 14, 2011

1110.2938 (/preprints)
2011-10-14, 22:15 [edit]


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