Dennison, Kenneth A. and Baumgarte, Thomas W. and Pfeiffer, Harald P. (2006) Approximate initial data for binary black holes. Physical Review D, 74 (6). Art. No. 064016. ISSN 0556-2821 http://resolver.caltech.edu/CaltechAUTHORS:DENprd06
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Abstract
We construct approximate analytical solutions to the constraint equations of general relativity for binary black holes of arbitrary mass ratio in quasicircular orbit. We adopt the puncture method to solve the constraint equations in the transverse-traceless decomposition and consider perturbations of Schwarzschild black holes caused by boosts and the presence of a binary companion. A superposition of these two perturbations then yields approximate, but fully analytic binary black hole initial data that are accurate to first order in the inverse of the binary separation and the square of the black holes' momenta.
| Item Type: | Article |
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| Additional Information: | ©2006 The American Physical Society (Received 8 June 2006; published 13 September 2006) T.W.B. thanks the California Institute of Technology for hospitality while this paper was finished. H.P. gratefully acknowledges support from the Sherman Fairchild Foundation. The elliptic solver was developed jointly with Lawrence Kidder and Mark Scheel. This paper was supported in part by NSF Grant No. PHY-0456917 to Bowdoin College and NSF Grant No. PHY-0244906 to the California Institute of Technology. |
| Record Number: | CaltechAUTHORS:DENprd06 |
| Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:DENprd06 |
| Alternative URL: | http://dx.doi.org/10.1103/PhysRevD.74.064016 |
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. |
| ID Code: | 5497 |
| Collection: | CaltechAUTHORS |
| Deposited By: | Archive Administrator |
| Deposited On: | 20 Oct 2006 |
| Last Modified: | 26 Dec 2012 09:13 |
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