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Connection between Finslerian geodesics and the field equations

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Abstract

It is shown that the equations of the gravitational field in 1-form Finslerian space-time imply that the streamlines of an incoherent fluid are Finslerian geodesics.

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Literature cited

  1. J. L. Synge, Relativity, the General Theory, Amsterdam (1960).

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  3. G. S. Asanov, Supplement to the Russian translation: H. Bund, Differential Geometry of Finslerian Spaces, Nauka, Moscow (1980); see also: G. S. Asanov, Foundations of Physics,11, 137 (1981).

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  4. H. Rund, The Hamilton-Jacobi Theory in the Calculus of Variations, Van Nostrand, London (1966).

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Authors and Affiliations

  1. M. V. Lomonosov State University, Moscow

    G. S. Asanov

Authors
  1. G. S. Asanov
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 70–74, February, 1981.

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Asanov, G.S. Connection between Finslerian geodesics and the field equations. Soviet Physics Journal 24, 164–167 (1981). https://doi.org/10.1007/BF00895365

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  • DOI: https://doi.org/10.1007/BF00895365

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