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Excision boundary conditions for black-hole initial data

Cook, Gregory B. and Pfeiffer, Harald P. (2004) Excision boundary conditions for black-hole initial data. Physical Review D, 70 (10). Art. No. 104016. ISSN 2470-0010. doi:10.1103/PhysRevD.70.104016.

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We define and extensively test a set of boundary conditions that can be applied at black-hole excision surfaces when the Hamiltonian and momentum constraints of general relativity are solved within the conformal thin-sandwich formalism. These boundary conditions have been designed to result in black holes that are in quasiequilibrium and are completely general in the sense that they can be applied with any conformal three-geometry and slicing condition. Furthermore, we show that they retain precisely the freedom to specify an arbitrary spin on each black hole. Interestingly, we have been unable to find a boundary condition on the lapse that can be derived from a quasiequilibrium condition. Rather, we find evidence that the lapse boundary condition is part of the initial temporal gauge choice. To test these boundary conditions, we have extensively explored the case of a single black hole and the case of a binary system of equal-mass black holes, including the computation of quasicircular orbits and the determination of the innermost stable circular orbit. Our tests show that the boundary conditions work well.

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Pfeiffer, Harald P.0000-0001-9288-519X
Additional Information:©2004 The American Physical Society (Received 23 July 2004; published 12 November 2004) The authors are grateful to J. Isenberg, L. Lindblom, V. Moncrief, N. O`Murchadha, M. Scheel, M. Shibata, and S. Teukolsky for illuminating discussions. The authors are grateful to K. Thorne and L. Lindblom for their hospitality during the Caltech Visitors Program in the Numerical Simulation of Gravitational Wave Sources in the spring of 2003, during which part of this work was performed. This work was supported in part by NSF Grant No. PHY-0140100 to Wake Forest University, No. PHY-9900672 to Cornell University, and No. PHY-0244906 and No. PHY-0099568 to the California Institute of Technology. Computations were performed on the Wake Forest University DEAC Cluster.
Subject Keywords:black holes; general relativity; gauge field theory; conformal field theory
Issue or Number:10
Record Number:CaltechAUTHORS:COOprd04
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:1925
Deposited By: Archive Administrator
Deposited On:23 Feb 2006
Last Modified:08 Nov 2021 19:43

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