Rodichev condition on torsion, spinors, and conservation laws in Riemann-Cartan space

Journal Article · Wed Nov 01 04:00:00 EST 1995 · Russian Physics Journal

DOI:https://doi.org/10.1007/BF00559306· OSTI ID:263283

Stepanov, V E ^[1]

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1. Yakutsk State Univ. (Russian Federation)

We examine the consequences of the Rodichev condition of complete antisymmetry of the torsion tensor in an orthonormal reference frame, which is equivalent to the condition of the existence of a pair of mutual spinor connectivities. It is shown that it makes possible a reformulation of general theorems about the relationship between first integrals of the geodesic equations and the Killing vectors, conservation laws for the symmetric energy-momentum tensor, and the Lagrangian formalism for a spinor field in the case of Riemann-Cartan space in the effective Riemann spacetime with an external torsion field.

• OSTI ID: 263283
• Journal Information: Russian Physics Journal, Journal Name: Russian Physics Journal Journal Issue: 5 Vol. 38; ISSN RPJOEB; ISSN 1064-8887
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ASYMMETRY
CONSERVATION LAWS
DIRAC EQUATION
ENERGY-MOMENTUM TENSOR
GEODESICS
RIEMANN SPACE
SPACE-TIME
SPINOR FIELDS
TORSION