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Relativistic theory of gravity and a torsion field

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Abstract

The fundamentals of gravity theory are stated in a Minkowski space with an effective nonzero-torsion Riemann-Cartan space-time, which is more general than the Riemannian space. The theory presented thus includes a torsion field of the Einstein-Cartan type in the general concept of the relativistic theory of gravity. Expressions for the metric and canonical energy-momentum tensors of the gravitational field and nongravitational matter in the Minkowski space are found. Noncoordinate gauge transformations are introduced under which the variation of the density of the gravitational Lagrangian is a divergence expression.

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Authors and Affiliations

  1. Byelorussian State Pedagogical University, Minsk, Byelorussia

    V. N. Tunyak

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  1. V. N. Tunyak
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Translated from Teoreticheskaya i Matematischeskaya Fizika, Vol. 118, No. 1, pp. 126–132, January, 1999.

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Tunyak, V.N. Relativistic theory of gravity and a torsion field. Theor Math Phys 118, 101–106 (1999). https://doi.org/10.1007/BF02557199

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  • DOI: https://doi.org/10.1007/BF02557199

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