Abstract
The general features of the dynamics of continuous media are investigated within the framework of the Einstein-Cartan gravitation theory using a formalism for the description of congruence geometry for the stream lines in the continuous medium. Raichaudkhur-type equations are derived for the space with twisting which are applicable to the investigation of the singularity problem in the gravitation theory. It is demonstrated that the spur of the space-time twisting tensor can directly affect the volumetric divergence of the autoparallel, while the twist pseudospur can affect the rotation of the congruence of the stream lines in the continuous medium. Using the investigated formalism, metrics are found and investigated for the uniform, rotating, nonstationary cosmologic model.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 9–14, December, 1985.
The author considers it his pleasant duty to express his acknowledgement to Yu. Sbitov, as well as to all participants of D. Ivanenko's theoretical seminar, for stimulating discussions and for the discussion of the results of this work.
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Krechet, V.G. Dynamics of continuous medium in space with torsion. Soviet Physics Journal 28, 957–961 (1985). https://doi.org/10.1007/BF00899082
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DOI: https://doi.org/10.1007/BF00899082