Geodesic
Quantization of weak gravitational waves in a closed Fridman model
Teoretičeskaâ i matematičeskaâ fizika, Tome 10 (1972) no. 3, pp. 399-411 
A. A. Lyubushin. Quantization of weak gravitational waves in a closed Fridman model. Teoretičeskaâ i matematičeskaâ fizika, Tome 10 (1972) no. 3, pp. 399-411. http://geodesic.mathdoc.fr/item/TMF_1972_10_3_a7/
@article{TMF_1972_10_3_a7,
     author = {A. A. Lyubushin},
     title = {Quantization of weak gravitational waves in a closed {Fridman} model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {399--411},
     year = {1972},
     volume = {10},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1972_10_3_a7/}
}
TY  - JOUR
AU  - A. A. Lyubushin
TI  - Quantization of weak gravitational waves in a closed Fridman model
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1972
SP  - 399
EP  - 411
VL  - 10
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1972_10_3_a7/
LA  - ru
ID  - TMF_1972_10_3_a7
ER  - 
%0 Journal Article
%A A. A. Lyubushin
%T Quantization of weak gravitational waves in a closed Fridman model
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1972
%P 399-411
%V 10
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1972_10_3_a7/
%G ru
%F TMF_1972_10_3_a7

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

The problem of quantization of free tensor fields in a curved space-time is considered for the example of quantization of weak gravitational waves. The distinctive feature of quantization in a curved space-time is the violation of the homogeneity of time by the expansion of the Universe and the related nonconservation of energy. This last circumstance means that s is impossible to construct a “good” Hamiltonian. The problem can be resolved because of the spatiai homogeneity and the associated integral conservation law.

[1] L. D. Landau, E. M. Lifshits, Teoriya polya, «Nauka», 1967 | MR | Zbl

[2] V. L. Ginzburg, D. A. Kirzhnits, A. A. Lyubushin, ZhETF, 60 (1971), 451

[3] K. A. Bronnikov, E. A. Tagirov, Preprint OIYaI P2-4151, 1968 | Zbl

[4] V. I. Ogievetskii, I. V. Polubarinov, Preprint OIYaI P-2106, 1965 | MR

[5] B. S. De Witt, Phys. Rev., 162, 1195 ; (1967), 1239 | DOI | DOI

[6] E. M. Lifchitz, I. M. Khalatnikov, Adv. of Phys., 12 (1963), 208

[7] A. Z. Petrov, Novye metody v obschei teorii otnositelnosti, «Nauka», 1966 | MR

[8] P. K. Rashevskii, Rimanova geometriya i tenzornyi analiz, «Nauka», 1967 | MR

[9] S. Shveber, Vvedenie v relyativistskuyu kvantovuyu teoriyu polya, IL, 1963

[10] E. S. Fradkin, I. V. Tyutin, Phys. Rev. D., 2 (1970), 2841 | DOI | MR | Zbl