Teoretičeskaâ i matematičeskaâ fizika, Tome 67 (1986) no. 3, pp. 323-335
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A. A. Logunov; M. A. Mestvirishvili. Gauge transformation in the relativistic theory of gravitation. Teoretičeskaâ i matematičeskaâ fizika, Tome 67 (1986) no. 3, pp. 323-335. http://geodesic.mathdoc.fr/item/TMF_1986_67_3_a0/
@article{TMF_1986_67_3_a0,
author = {A. A. Logunov and M. A. Mestvirishvili},
title = {Gauge transformation in the relativistic theory of gravitation},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {323--335},
year = {1986},
volume = {67},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1986_67_3_a0/}
}
TY - JOUR
AU - A. A. Logunov
AU - M. A. Mestvirishvili
TI - Gauge transformation in the relativistic theory of gravitation
JO - Teoretičeskaâ i matematičeskaâ fizika
PY - 1986
SP - 323
EP - 335
VL - 67
IS - 3
UR - http://geodesic.mathdoc.fr/item/TMF_1986_67_3_a0/
LA - ru
ID - TMF_1986_67_3_a0
ER -
%0 Journal Article
%A A. A. Logunov
%A M. A. Mestvirishvili
%T Gauge transformation in the relativistic theory of gravitation
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1986
%P 323-335
%V 67
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1986_67_3_a0/
%G ru
%F TMF_1986_67_3_a0
A gauge principle is formulated and used to construct a Lagrangian density of the gravitational field. It is shown that the Riemannian geometry of space-time is uniquely determined only in the presence of matter. By virtue of the gauge freedom, it is in principle impossible for the Riemannian geometry of space-time To be determined by gravitational fields alone.
