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Energy versus Angular Momentum in Black Hole Binaries · Around

2011

Energy versus Angular Momentum in Black Hole Binaries

Damour, Thibault, Nagar, Alessandro, Pollney, Denis et al.

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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 $E^{\rm NR} (j)$ 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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Then

T. Damour and A. Nagar, Phys. Rev. D79
2009
Later among the works it cites.
C. Reisswig et al. , Class. Quant. Grav. 27
2010
Later among the works it cites.
U. Sperhake, E. Berti, and V. Cardoso(2011), arXiv:1107.2819 [gr-qc]
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2011
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A. Le Tiec et al. , Phys.Rev.Lett. 107
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D. Pollney et al. , Phys.Rev. D83
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C. Reisswig and D. Pollney, Class.Quant.Grav. 28
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Y. Pan et al. (2011), arXiv:1106.1021 [gr-qc]

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