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Phys. Rev. D 78, 084027 (2008) [11 pages]

Estimating total momentum at finite distances

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Emanuel Gallo1,*, Luis Lehner2,†, and Osvaldo M. Moreschi1,‡
1FaMAF Universidad Nacional de Córdoba, Ciudad Universitaria, (5000) Córdoba, Argentina
2Department of Physics and Astronomy, LSU, Baton Rouge, Louisiana 70803, USA

Received 27 June 2008; published 22 October 2008

We study the difficulties associated with the evaluation of the total Bondi momentum at finite distances around the central source of a general (asymptotically flat) spacetime. Since the total momentum is only rigorously defined at future null infinity, both finite distance and gauge effects must be taken into account for a correct computation of this quantity. Our discussion is applicable in general contexts but is particularly relevant in numerically constructed spacetimes for both extracting important physical information and assessing the accuracy of additional quantities.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.78.084027
DOI:
10.1103/PhysRevD.78.084027
PACS:
04.25.D−, 04.30.Db

*egallo@famaf.unc.edu.ar

lehner@phys.lsu.edu

moreschi@fis.uncor.edu