Equation of motion of a~point source of a~scalar field in the general theory of relativity
Teoretičeskaâ i matematičeskaâ fizika, Tome 37 (1978) no. 1, pp. 74-83
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The equation of motion of a point source of a scalar field is derived in the general theory of relativity. The form of this equation is independent of the chosen variant of field equation – with the traditional or with conformally covariant kinetic part. As in the case of an electric charge [2, 10], the source is subject to a force that depends explicitly on the space-time curvature at the position of the source, and this contradicts some formulations
of the equivalence principle.
@article{TMF_1978_37_1_a7,
author = {S. B. Il'in and \'E. A. Tagirov},
title = {Equation of motion of a~point source of a~scalar field in the general theory of relativity},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {74--83},
publisher = {mathdoc},
volume = {37},
number = {1},
year = {1978},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1978_37_1_a7/}
}
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%0 Journal Article %A S. B. Il'in %A É. A. Tagirov %T Equation of motion of a~point source of a~scalar field in the general theory of relativity %J Teoretičeskaâ i matematičeskaâ fizika %D 1978 %P 74-83 %V 37 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1978_37_1_a7/ %G ru %F TMF_1978_37_1_a7
S. B. Il'in; É. A. Tagirov. Equation of motion of a~point source of a~scalar field in the general theory of relativity. Teoretičeskaâ i matematičeskaâ fizika, Tome 37 (1978) no. 1, pp. 74-83. http://geodesic.mathdoc.fr/item/TMF_1978_37_1_a7/