Dynamics of a continuous medium in a space with torsion

Details Dynamics of a continuous medium in a space with torsion Dynamics of a continuous medium in a space with torsion

Dec 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985fiz....28....9k&link_type=abstract

Fizika (ISSN 0021-3411), vol. 28, Dec. 1985, p. 9-14. In Russian.

Mathematics

Cartan Space, Continuum Mechanics, Cosmology, Gravitation Theory, Relativity, Space-Time Functions, Congruences, Rotating Matter, Singularity (Mathematics), Tensor Analysis, Torsion

Scientific paper

The general dynamical properties of continuous media are examined in the framework of Einstein-Cartan gravitation theory on the basis of a description of the geometry of the streamline congruences of the continuous medium. An equation for a space with torsion is derived which can be used to study singularities in gravitation theory. It is shown that the wake of the space-time torsion tensor can have a direct effect on the volumetric divergence of auto-parallels, while the pseudowake of the torsion can have a direct effect on the rotation of the streamline congruences. The proposed formalism is used to obtain the metric of a homogeneous rotating nonstationary cosmological model.

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