Poincaré gauge field theory and gravitation
Drechsler, W.
Annales de l'I.H.P. Physique théorique, Tome 37 (1982), p. 155-184 / Harvested from Numdam
Publié le : 1982-01-01
@article{AIHPA_1982__37_2_155_0,
     author = {Drechsler, W.},
     title = {Poincar\'e gauge field theory and gravitation},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     volume = {37},
     year = {1982},
     pages = {155-184},
     mrnumber = {682095},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPA_1982__37_2_155_0}
}
Drechsler, W. Poincaré gauge field theory and gravitation. Annales de l'I.H.P. Physique théorique, Tome 37 (1982) pp. 155-184. http://gdmltest.u-ga.fr/item/AIHPA_1982__37_2_155_0/

[1] T.W.B. Kibble, J. Math. Phys., t. 2, 1961, p. 212. | Zbl 0095.22903

[2] K. Hayashi and T. Nakano, Progr. Theor. Phys., t. 38, 1967, p. 491 ; K. Hayashi, loc. cit., t. 39, 1968, p. 494; K. Hayashi and A. Bregman, Ann. Phys. (N. Y.), t. 75, 1973, p. 562.

[3] F.W. Hehl, Spin und Torsion in der allgemeinen Relativitätstheorie, Habilitationsschrift, Technische Universität Clausthal, 1970; F.W. Hehl and B.K. Datta, J. Math. Phys., t. 12, 1971, p. 1334.

[4] K. Hayashi, Phys. Letts, t. 69B, 1977, p. 441; K. Hayashi and T. Shirafuji, Phys. Rev., t. D19, 1979, p. 3524, and Progr. Theory. Phys., t. 64, 1980, p. 866, 883. | Zbl 1060.83524

[5] Y.M. Cho, Phys. Rev., t. 14, 1976, p. 2521. | MR 462423

[6] A. Lichnerowicz, Théorie globale des connexions et des groupes d'holonomie, Edizioni Cremonese, Roma, 1962. | MR 165458

[7] S. Kobayashi and K. Nomizu, Foundation of Differential Geometry, J. Wiley, New York, t. I, 1963. | Zbl 0119.37502

[8] W. Drechsler, J. Math. Phys., t. 18, 1977, p. 1358. | MR 674330 | Zbl 0354.53028

[9] Ch Ehresman, Les connexions infinitesimales dans un espace fibré differentiable, Colloque de Topologie, Bruxelles, 1950, p. 29. | MR 42768 | Zbl 0054.07201

[10] S. Kobayashi, Annali di Mat., t. 43, 1957, p. 119. | MR 96276 | Zbl 0124.37604

[11] F. Lurcat, Phys., t. 1, 1964, p. 95.

[12] D. Finkelstein, Phy. Rev., t. 100, 1955, p. 924. | MR 79530 | Zbl 0065.44305

[13] H. Bacry and A. Khilberg, J. Math. Phys., t. 10, 1969, p. 2132; A. Kilhberg. Ann. Inst. Henri Poincaré, t. 13, 1970, p. 57. | Zbl 0191.27002

[14] C.P. Boyer and G.N. Fleming, J. Math. Phys., t. 15, 1974, p. 1007. | MR 343791

[15] Y. Choquet-Bruhat, Géométrie différentielle et systèmes extérieurs, Dunod, Paris, 1968. | MR 236824 | Zbl 0164.22001

[16] H. Flanders, Differential Forms, Academic Press, New York, 1963. | MR 162198 | Zbl 0112.32003

[17] A. Trautman, On the Structure of the Einstein-Cartan Equations, Symposia Mathematica, t. 12, 1973, p. 139. | MR 376097 | Zbl 0273.53021

[18] F.W. Hehl, P. Von Der Heyde, G.D. Kerlick and J.M. Nester, Rev. Mod. Phys., t. 48, 1976, p. 393. | MR 439001

[19] E. Cartan, Ann. Ec. Norm., t. 40, 1922, p. 325, and t. 41, 1924, p. 1; E. Cartan, Théorie des groupes finis et continus et la géométrie différentielle, Gauthier-Villars, Paris, 1937.

[20] L.P. Eisenhart, Riemannian Geometry, Princeton University Press, 1964. | MR 1487892

[21] S.L. Adler, Phys. Rev., t. 177, 1969, p. 2426.

[22] T. Kimura, Progr. Theor. Phys., t. 42, 1969, p. 1191. | MR 252010

[23] R. Penrose, Proc. Roy. Soc., t. 284, 1965, p. 159. | MR 175590 | Zbl 0129.41202

[24] E.A. Tagirov, Ann. Phys. (N. Y.), t. 76, 1973, p. 561.

[25] N.A. Chernikov and E.A. Tagirov, Ann. Inst. Henri Poincaré, t. 19, 1968, p. 109. | Numdam | Zbl 0162.57802

[26] W. Drechsler and R. Sasaki, Nuovo Cimento, t. 46A, 1978, p. 527.