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The uniqueness of the center of mass in general relativity

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Abstract

Using the theorem of Poincaré-Hopf we prove the uniqueness of the center-of-mass line (its existence has been shown in a different paper, see [2]) in Dixon's theory of the dynamics of extended bodies in metric theories of gravity.

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References

  1. Milnor, J. W. (1963).Topology from the Differentiable Viewpoint (University of Virginia Press, Charlottesville).

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  2. Schattner, R. (1979).Gen. Rel. Grav.,10, 377; and papers cited therein.

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  3. Schattner, R. (1977). “The Center of Mass in General Relativity,” Diplomarbeit, University of Munich, MPI-PAE/Astro 122, Munich. [Copies available from R. Schattner, Max-Planck-Institut für Physik und Astrophysik, Föhringer Ring 6, 8000 München 40, BRD.]

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  1. Max-Planck-Institut für Physik und Astrophysik, Föhringer Ring 6, 8000, München 40, West Germany

    R. Schattner

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  1. R. Schattner
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Schattner, R. The uniqueness of the center of mass in general relativity. Gen Relat Gravit 10, 395–399 (1979). https://doi.org/10.1007/BF00760222

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  • DOI: https://doi.org/10.1007/BF00760222

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