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Bondi-Sachs energy-momentum for the constant mean extrinsic curvature initial value problem

Bardeen, James M. and Buchman, Luisa T. (2012) Bondi-Sachs energy-momentum for the constant mean extrinsic curvature initial value problem. Physical Review D, 85 (6). Art. No. 064035. ISSN 2470-0010. doi:10.1103/PhysRevD.85.064035.

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The constraints on the asymptotic behavior of the conformal factor and conformal extrinsic curvature imposed by the initial value equations of general relativity on constant mean extrinsic curvature (CMC) hypersurfaces are analyzed in detail. We derive explicit formulas for the Bondi-Sachs energy and momentum in terms of coefficients of asymptotic expansions on CMC hypersurfaces near future null infinity. Precise numerical results for the Bondi-Sachs energy, momentum, and angular momentum are used to interpret physically Bowen-York initial data on conformally flat CMC hypersurfaces similar to that calculated earlier by Buchman et al. [ L. T. Buchman, H. P. Pfeiffer and J. M. Bardeen Phys. Rev. D 80 084024-1 (2009)].

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Additional Information:© 2012 American Physical Society. Received 10 November 2011; published 26 March 2012. We gratefully acknowledge Harald Pfeiffer for helpful feedback, and for advice regarding the SPEC elliptic solver. J. M. B. thanks the Perimeter Institute for their hospitality during the final stages of writing the paper.
Issue or Number:6
Classification Code:PACS: 04.25.dg, 04.20.-q, 04.20.Ex, 04.30.-w
Record Number:CaltechAUTHORS:20120413-104927484
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:30073
Deposited By: Tony Diaz
Deposited On:17 Apr 2012 18:24
Last Modified:09 Nov 2021 19:35

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