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Theory of a direct interparticle gravitational interaction against a riemannian background

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Abstract

Fokker's action principle is used to derive a theory for a direct interparticle gravitational interaction. In the first approximation in the interaction constant, and for a background metric satisfying the condition Rμν=0, this formulation of gravitational theory leads to equations of motion which are the equations of geodesics in some effective Riemannian space-time, and it leads to identical satisfaction of Einstein's equations.

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, USSR

    A. Yu. Turygin

Authors
  1. A. Yu. Turygin
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Translated from Izvestiya Vysschikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 82–88, June, 1981.

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Turygin, A.Y. Theory of a direct interparticle gravitational interaction against a riemannian background. Soviet Physics Journal 24, 558–563 (1981). https://doi.org/10.1007/BF00892958

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  • DOI: https://doi.org/10.1007/BF00892958

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