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Energy versus Angular Momentum in Black Hole Binaries

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arxiv 1110.2938 v1 pith:FF4YZBPQ submitted 2011-10-13 gr-qc astro-ph.HE

Thibault Damour , Alessandro Nagar , Denis Pollney , Christian Reisswig This is my paper
classification gr-qcastro-ph.HE
keywords relationaccurateangularbinariesblack-holeenergymomentumnumerical
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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 $E^{\rm NR} (j)$ curve with the predictions of several analytic approximation schemes, we find that, while the usual, non-resummed post-Newtonian-expanded $E^{\rm PN} (j)$ relation exhibits large and growing deviations from $E^{\rm NR} (j)$, 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.

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Cited by 3 Pith papers

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