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The center-of-mass in Einsteins theory of gravitation

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Abstract

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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Authors and Affiliations

  1. Institut für Angewandte Mathematik der Universität Heidelberg, Germany

    W. Beiglböck

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  1. W. Beiglböck
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Additional information

Essentially this work has been done during the authors stay at the Seminar f. Allg. Relativitätstheorie, Univ. Hamburg.

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Beiglböck, W. The center-of-mass in Einsteins theory of gravitation. Commun.Math. Phys. 5, 106–130 (1967). https://doi.org/10.1007/BF01646841

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  • DOI: https://doi.org/10.1007/BF01646841

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