Structure of the energy-momentum tensor and the spin tensor in a~covariant theory of a~spinor field
Teoretičeskaâ i matematičeskaâ fizika, Tome 53 (1982) no. 2, pp. 250-259
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A covariant generalization of the second part of Noether's theorem is obtained for a spinor field in Riemannian space-time. Differential relations for the energy-momentum tensor and the spin tensor are derived from the conditions of invariance of the field equations with respect to arbitrary infinitesimal variations of the coordinates and the tetrad components. The symmetrization of the energy-momentum tensor of the spinor field is considered.
@article{TMF_1982_53_2_a6,
author = {B. A. Levitskii and Yu. A. Yappa},
title = {Structure of the energy-momentum tensor and the spin tensor in a~covariant theory of a~spinor field},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {250--259},
publisher = {mathdoc},
volume = {53},
number = {2},
year = {1982},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1982_53_2_a6/}
}
TY - JOUR AU - B. A. Levitskii AU - Yu. A. Yappa TI - Structure of the energy-momentum tensor and the spin tensor in a~covariant theory of a~spinor field JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1982 SP - 250 EP - 259 VL - 53 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1982_53_2_a6/ LA - ru ID - TMF_1982_53_2_a6 ER -
%0 Journal Article %A B. A. Levitskii %A Yu. A. Yappa %T Structure of the energy-momentum tensor and the spin tensor in a~covariant theory of a~spinor field %J Teoretičeskaâ i matematičeskaâ fizika %D 1982 %P 250-259 %V 53 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1982_53_2_a6/ %G ru %F TMF_1982_53_2_a6
B. A. Levitskii; Yu. A. Yappa. Structure of the energy-momentum tensor and the spin tensor in a~covariant theory of a~spinor field. Teoretičeskaâ i matematičeskaâ fizika, Tome 53 (1982) no. 2, pp. 250-259. http://geodesic.mathdoc.fr/item/TMF_1982_53_2_a6/