Geodesic
Duality of gravitation in the quantization problem
Teoretičeskaâ i matematičeskaâ fizika, Tome 34 (1978) no. 3, pp. 334-340 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Gravitational pseudoparticles are considered in the framework of the gauge treatment of gravitation. The investigation is based on de Rham's duality theorem, which establishes the periods of the curvature form as the associated topological charges. It is assumed that the gravitational fields satisfy a gauge condition that distinguishes fields of Abelian type. Necessary and sufficient conditions for the existence of gravitational pseudoparticles are stated and examined. In the framework of the specified gauge, the analogy with Yang–Mills fields corresponding to an Abelian group is studied. 
@article{TMF_1978_34_3_a4,
     author = {V. M. Nikolaenko},
     title = {Duality of gravitation in the quantization problem},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {334--340},
     year = {1978},
     volume = {34},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1978_34_3_a4/}
}
TY  - JOUR
AU  - V. M. Nikolaenko
TI  - Duality of gravitation in the quantization problem
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1978
SP  - 334
EP  - 340
VL  - 34
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1978_34_3_a4/
LA  - ru
ID  - TMF_1978_34_3_a4
ER  - 
%0 Journal Article
%A V. M. Nikolaenko
%T Duality of gravitation in the quantization problem
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1978
%P 334-340
%V 34
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1978_34_3_a4/
%G ru
%F TMF_1978_34_3_a4
V. M. Nikolaenko. Duality of gravitation in the quantization problem. Teoretičeskaâ i matematičeskaâ fizika, Tome 34 (1978) no. 3, pp. 334-340. http://geodesic.mathdoc.fr/item/TMF_1978_34_3_a4/

[1] H. B. Nielsen, P. Olesen, Nucl. Phys., B61 (1973), 45 | DOI

[2] A. M. Polyakov, Pisma v ZhETF, 20 (1974), 430; ЖЭТФ, 68 (1975), 1975

[3] G.'t Hooft, Nucl. Phys., B79 (1974), 276 | DOI | MR

[4] L. D. Faddeev, Pisma v ZhETF, 21 (1975), 141

[5] A. A. Belavin, A. M. Polyakov, A. S. Schwartz, Yu. S. Tyupkin, Phys. Lett., 59B (1975), 85 | DOI | MR

[6] J. Scherk, J. H. Schwarz, Nucl. Phys., B81 (1974), 118 | DOI

[7] E. Cremmer, J. Scherk, Nucl. Phys., B118 (1977), 61 | DOI | MR

[8] P. Utiyama, Phys. Rev., 101 (1956), 1597 | DOI | MR | Zbl

[9] T. W. B. Kibble, J. Math. Phys., 2 (1961), 212 | DOI | MR | Zbl

[10] Yu. S. Tyupkin, V. A. Fateev, A. S. Shvarts, Pisma v ZhETF, 21 (1975), 91

[11] M. I. Monastyrskii, A. M. Perelomov, Pisma v ZhETF, 21 (1975), 94

[12] A. A. Belavin, D. E. Burlankov, Phys. Lett., 58A (1976), 7 | DOI | MR

[13] S. W. Hawking, Phys. Lett., 60A (1977), 81 | DOI | MR

[14] Zh. De Ram, Differentsiruemye mnogoobraziya, IL, 1957

[15] E. Kartan, Geometriya grupp Li i simmetricheskie prostranstva, IL, 1949

[16] J. F. Schell, J. Math. Phys., 2 (1961), 202 | DOI | MR | Zbl

[17] D. V. Alekseevskii, Problemy teorii gravitatsii i elementarnykh chastits, no. 5, ed. K. P. Stanyukovich, Atomizdat, 1974, 5

[18] A. Likhnerovich, Teoriya svyaznosti v tselom i gruppy golonomii, IL, 1960

[19] W. Greub, S. Halperin, R. Vanstone, Connections, Curvature, and Cohomology, v. 1, Academic Press, 1972 | MR | Zbl

[20] V. M. Nikolaenko, Acta Phys. Polon., B7 (1976), 681 | MR

[21] N. Stinrod, Topologiya kosykh proizvedenii, IL, 1953

[22] A. Avez, Compt. Rend., 255 (1962), 2049 | MR | Zbl