Energy versus Angular Momentum in Black Hole Binaries

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

4 pages, 2 figures

References in corpus (5)

• Inspiral-merger-ringdown multipolar waveforms of nonspinning black-hole binaries using the effective-one-body formalism
• An improved analytical description of inspiralling and coalescing black-hole binaries
• Periastron Advance in Black-Hole Binaries
• Reducing eccentricity in black-hole binary evolutions with initial parameters from post-Newtonian inspiral
• Conservative self-force correction to the innermost stable circular orbit: comparison with multiple post-Newtonian-based methods

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