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Circular orbits and spin in black-hole initial data

Caudill, Matthew and Cook, Gregory B. and Grigsby, Jason D. and Pfeiffer, Harald P. (2006) Circular orbits and spin in black-hole initial data. Physical Review D, 74 (6). Art. No. 064011. ISSN 2470-0010. doi:10.1103/PhysRevD.74.064011.

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The construction of initial data for black-hole binaries usually involves the choice of free parameters that define the spins of the black holes and essentially the eccentricity of the orbit. Such parameters must be chosen carefully to yield initial data with the desired physical properties. In this paper, we examine these choices in detail for the quasiequilibrium method coupled to apparent-horizon/quasiequilibrium boundary conditions. First, we compare two independent criteria for choosing the orbital frequency, the "Komar-mass condition" and the "effective-potential method," and find excellent agreement. Second, we implement quasilocal measures of the spin of the individual holes, calibrate these with corotating binaries, and revisit the construction of nonspinning black-hole binaries. Higher-order effects, beyond those considered in earlier work, turn out to be important. Without those, supposedly nonspinning black holes have appreciable quasilocal spin; furthermore, the Komar-mass condition and effective-potential method agree only when these higher-order effects are taken into account. We compute a new sequence of quasicircular orbits for nonspinning black-hole binaries, and determine the innermost stable circular orbit of this sequence.

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Pfeiffer, Harald P.0000-0001-9288-519X
Additional Information:©2006 The American Physical Society (Received 9 May 2006; published 11 September 2006) We would like to thank Bernard Whiting and Clifford Will for useful discussions. This work was supported in part by NSF Grant No. PHY-0244906 to the California Institute of Technology. Computations were performed on the Wake Forest University DEAC Cluster.
Issue or Number:6
Record Number:CaltechAUTHORS:CAUprd06
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:5498
Deposited By: Archive Administrator
Deposited On:20 Oct 2006
Last Modified:08 Nov 2021 20:26

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