Abstract
It is shown, under the most general conditions imposed on the Finslerian metric and on the Lagrangian density of the gravitational field, that the streamlines of a Finslerian perfect fluid are Finslerian geodesics and that the equation of continuity is satisfied. This result is interesting for analyzing the motion of test bodies.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 87–91, September, 1981.
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Asanov, G.S. Finslerian generalization of the hypothesis of Riemannian geodesics for motion of test bodies. I. Soviet Physics Journal 24, 861–865 (1981). https://doi.org/10.1007/BF00891337
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DOI: https://doi.org/10.1007/BF00891337