The center-of-mass in Einsteins theory of gravitation

We prove the existence and uniqueness of a center-of-mass line as well as a center-of-motion line, the latter due toG. Dixon, 1964. The validity of the theorems depends on some assumptions listed in § 2, whose most restrictive ones (in the sense of physics) state a certain weakness of the gravitatio...

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1. Verfasser: Beiglböck, Wolf Dieter (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: April 1967
In: Communications in mathematical physics
Year: 1967, Jahrgang: 5, Heft: 2, Pages: 106-130
ISSN:1432-0916
DOI:10.1007/BF01646841
Online-Zugang:Verlag, Volltext: http://dx.doi.org/10.1007/BF01646841
Verlag, Volltext: https://link.springer.com/article/10.1007/BF01646841
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Verfasserangaben:W. Beiglböck

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520 |a We prove the existence and uniqueness of a center-of-mass line as well as a center-of-motion line, the latter due toG. Dixon, 1964. The validity of the theorems depends on some assumptions listed in § 2, whose most restrictive ones (in the sense of physics) state a certain weakness of the gravitational field. In the concluding paragraph we give some corrolaries and a very simple application to the problem of motion. 
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