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TMF, 1999, Volume 118, Number 1, Pages 126–132 (Mi tmf690)  

Relativistic theory of gravity and a torsion field

V. N. Tunyak

Belarusian State Pedagogical University

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.

DOI: https://doi.org/10.4213/tmf690

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English version:
Theoretical and Mathematical Physics, 1999, 118:1, 101–106

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Received: 04.06.1998

Citation: V. N. Tunyak, “Relativistic theory of gravity and a torsion field”, TMF, 118:1 (1999), 126–132; Theoret. and Math. Phys., 118:1 (1999), 101–106

Citation in format AMSBIB
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\by V.~N.~Tunyak
\paper Relativistic theory of gravity and a torsion field
\jour TMF
\yr 1999
\vol 118
\issue 1
\pages 126--132
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\crossref{https://doi.org/10.4213/tmf690}
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\jour Theoret. and Math. Phys.
\yr 1999
\vol 118
\issue 1
\pages 101--106
\crossref{https://doi.org/10.1007/BF02557199}
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