Phenomenological foundations of the theory of gravitation
Teoretičeskaâ i matematičeskaâ fizika, Tome 93 (1992) no. 1, pp. 154-174 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A phenomenological expression for the vacuum amplitude of gravitons is found in the framework of Schwinger's source theory. The expression provides the basis for a formulation of the correspondence principle and solution of the energy–momentum problem in gravitation theory. Theorems on the conservation of higher moments are proved. It is shown that any theory of gravitation can always be formulated in terms of Minkowski space locally (and globally if spacetime can be covered by a single chart).
@article{TMF_1992_93_1_a11,
     author = {V. T. Berezin},
     title = {Phenomenological foundations of the theory of gravitation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {154--174},
     year = {1992},
     volume = {93},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1992_93_1_a11/}
}
TY  - JOUR
AU  - V. T. Berezin
TI  - Phenomenological foundations of the theory of gravitation
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1992
SP  - 154
EP  - 174
VL  - 93
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1992_93_1_a11/
LA  - ru
ID  - TMF_1992_93_1_a11
ER  - 
%0 Journal Article
%A V. T. Berezin
%T Phenomenological foundations of the theory of gravitation
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1992
%P 154-174
%V 93
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1992_93_1_a11/
%G ru
%F TMF_1992_93_1_a11
V. T. Berezin. Phenomenological foundations of the theory of gravitation. Teoretičeskaâ i matematičeskaâ fizika, Tome 93 (1992) no. 1, pp. 154-174. http://geodesic.mathdoc.fr/item/TMF_1992_93_1_a11/

[1] Folomeshkin V. N., Acta Phys. Polon., 36 (1969), 439–449 | Zbl

[2] Logunov A. A., Lektsii po teorii otnositelnosti i gravitatsii. Sovremennyi analiz problemy, Nauka, M., 1987 | MR

[3] Logunov A. A., Mestvirishvili M. A., Relyativistskaya teoriya gravitatsii, Nauka, M., 1989 | MR

[4] Logunov A. A., Mestvirishvili M. A., TMF, 86:1 (1991), 3–15 | MR | Zbl

[5] Kein G., Sovremennaya fizika elementarnykh chastits, Mir, M., 1990

[6] Cheng T. P., Li L.-F., Kalibrovochnye teorii v fizike elementarnykh chastits, Mir, M., 1987

[7] Raider L., Kvantovaya teoriya polya, Mir, M., 1987 | MR

[8] Postnikov M. M., Differentsialnaya geometriya, Nauka, M., 1988 | MR | Zbl

[9] Khyuzmoller D., Rassloennye prostranstva, Mir, M., 1970

[10] Zulanke R., Vintgen P., Differentsialnaya geometriya i rassloeniya, Mir, M., 1975

[11] Shvinger Yu., Chastitsy, istochniki, polya, Mir, M., 1973

[12] Engelking R., Obschaya topologiya, Mir, M., 1986 | MR

[13] Postnikov M. M., Gladkie mnogoobraziya, Nauka, M., 1987 | MR | Zbl

[14] Uorner F., Osnovy teorii gladkikh mnogoobrazii i grupp Li, Mir, M., 1987 | MR

[15] Berezin V. T., Fizicheskie osnovaniya teorii gravitatsii. Metod Shvingera i printsip sootvetstviya, preprint No 7(144), Donetskii fiziko-tekhnich. in-t AN USSR, Donetsk, 1988

[16] Rosen N., Ann. Phys., 22 (1963), 1–11 | DOI | MR | Zbl

[17] Veinberg S., Gravitatsiya i kosmologiya, Mir, M., 1975

[18] Fok V. A., Teoriya prostranstva, vremeni i tyagoteniya, Fizmatgiz, M., 1961

[19] Mitskevich N. V., Fizicheskie polya v obschei teorii otnositelnosti, Nauka, M., 1969 | Zbl

[20] Belinfante F. J., Physica, 6 (1939), 887–897 | DOI | MR

[21] Berezin V. T., Fizicheskie osnovaniya teorii gravitatsii. Kovariantnyi lagranzhev formalizm s proizvolnoi svyaznostyu i reshenie problemy energii-impulsa, Preprint No 8(145), Donetskii fiziko-tekhnich. in-t AN USSR, Donetsk, 1988

[22] Berezin V. T., Physica A, 115 (1982), 449–478 ; 116, 74–100 ; 127 (1984), 282–315 | DOI | DOI | DOI