Geodesic
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 
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/
@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},
     year = {1978},
     volume = {37},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1978_37_1_a7/}
}
TY  - JOUR
AU  - S. B. Il'in
AU  - É. A. Tagirov
TI  - Equation of motion of a point source of a scalar field in the general theory of relativity
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1978
SP  - 74
EP  - 83
VL  - 37
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1978_37_1_a7/
LA  - ru
ID  - TMF_1978_37_1_a7
ER  - 
%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
%U http://geodesic.mathdoc.fr/item/TMF_1978_37_1_a7/
%G ru
%F TMF_1978_37_1_a7

Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] B. S. DeWitt, R. W. Brehme, Ann. Phys. (N. Y.), 9 (1960), 220 | DOI | MR

[2] J. M. Hobbs, Ann. Phys. (N. Y.), 47 (1968), 141 | DOI

[3] A. A. Logunov, V. N. Folomeshkin, Preprint IFVE OTF-77-53, Serpukhov, 1977 | MR

[4] R. Penrose, Relativity, Groups and Topology, eds. G. M. DeWitt, B. S. DeWitt, Gordon and Breach, N. Y., 1964, 565 ; Gravitatsiya i topologiya, Sb., «Mir», 1966 | MR

[5] N. A. Chernikov, E. A. Tagirov, Ann. Inst. H. Poincare, A9 (1967), 109 | MR

[6] P. A. M. Dirac, Proc. Roy. Soc. (London), A167 (1938), 148 | DOI

[7] A. A. Sokolov, I. M. Ternov, Relyativistskii elektron, «Nauka», 1974

[8] S. B. Il'yn, E. A. Tagirov, Preprint JINR E2-8323, Dubna, 1974

[9] Dzh. Sing, Obschaya teoriya otnositelnosti, IL, 1963

[10] S. B. Ilin, Problemy teorii gravitatsii i elementarnykh chastits, no. 8, Atomizdat, 1977