Abstract
The Klein-Kaluza theory with a nonvanishing torsion is developed. The torsion is associated with the spin and polarization of an electromagnetic field. The electromagnetic polarization is considered as a source of additional components of a torsion connected with a fifth dimension. It is proved that the new effects are 1036 times bigger than the effects from the Einstein-Cartan theory.
Similar content being viewed by others
References
Kaluza, T.: Sitzungsber Preuss. Akad. Wiss. 966–1002 (1921).
Lichnerowicz, A.: Theorie relativistes de la gravitation et de l'électromagnetisme, Masson, Paris, 1955.
Bailey, W. and Israel, W.: Comm. Math. Phys. 42, 65–82 (1975).
Israel, W.: Phys. Lett. 67, 125–128 (1977).
Israel, W.: ‘Foundation of Relativistic Kinetic Theory of Spinning Particles’, Colloque Internationaux CNRS No 235, Theorie Cinetiques classiques et relativistes, 169–182 (1975).
Trautman, A.: Rep. Math. Phys. 1, 29–62 (1970).
Kalinowski, M.W.: ‘Gauge Fields with Torsion’, parts I and II, Warsaw University, preprint IFT/2/1980.
Trautman, A.: Bull. Pol. Sci. Ser. Sci. Math. Astron. Phys. 20, 184–190, 503–506, 895–1005; 21, 345 (1972).
Trautman, A.: Symp. Math. 12, 139–162 (1973).
Hehl, F., von der Heyde, P., Kerlich, G.G., and Nester, J.M.: Rev. Mod. Phys. 48, 393–416 (1976).
Arkuszewski, W., Kopczyński, W., and Ponomariew, V.N.: Ann. Inst. Henri Poincaré A21, 89–95 (1974).
Author information
Authors and Affiliations
Additional information
Partially supported by Polish Ministry of Science, Higher Education and Technology, project No. Mr 17.
Rights and permissions
About this article
Cite this article
Kalinowski, M.W. On a generalization of the Einstein-Cartan theory and the Klein-Kaluza theory. Lett Math Phys 5, 489–500 (1981). https://doi.org/10.1007/BF00408130
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00408130