Abstract
The Einstein-Cartan theory of gravitation (“general relativity with spin”) provides a specific spin-spin contact interaction of matter, in addition to the usual long-range gravity. This new interaction enables us to prevent singularities in Cosmological models. It is shown how this mechanism works in the case when the standard Einstein-Cartan equations are valid at a microphysical level, and some spin-spin terms remain from the averaging procedure for randomly distributed spins. In contrast with the case of aligned spin distributions, it is possible to take over the isotropic and spatially homogeneous (i.e., Friedmannian) models into the Einstein-Cartan theory. These models can be made free from singularity, thanks to the self-interaction of spinning fluid.
Similar content being viewed by others
References
Hawking, S. W., and Ellis, G. F. R. (1973).The Large Scale Structure of Space-time (Cambridge University Press, Cambridge).
Hehl, F. W. (1973/4).Gen. Rel. Grav.,4, 333;5, 491.
Trautman, A. (1972).Bull Acad. Pol. Sci., Sér. Sci. Math., Astron. Phys.,20, 185, 503, 895.
Trautman, A. (1973).Istit. Naz. Alta Mat., Symp. Mat.,12, 139.
Kuchowicz, B., (1975).Acta Cosmologica,3, 109.
Weyssenhoff, J., and Raabe, A. (1947).Acta Phys. Pol.,9, 7.
Weyssenhoff, J. (1947).Acta Phys. Pol.,9, 26.
Weyssenhoff, J. (1958).Max-Planck-Festschrift (Deutscher Verlag der Wissenschaften, Berlin), p. 155.
Kuchowicz, B. (1976).Astrophys. Space Sci.,39, 157.
Kuchowicz, B. (1976).Acta Cosmologica,4, 67.
Hehl, F. W., von der Heyde, P., Kerlick, G. D., and Nester, J. M. (1976),Rev. Mod. Phys.,48, 393.
Kantowski, R., Sachs, R. K. (1966).J. Math. Phys.,7, 443.
Stewart, J., and Hajiček, P. (1973),Nature (London) Phys. Sci.,244, 96.
Trautman, A. (1973).Nature (London) Phys. Sci.,242, 7.
Hehl, F. W., von der Heyde, P., and Kerlick, G. D., (1974).Phys. Rev. D,10, 1066.
Kundt, W. (1971).Springer Tracts Mod. Phys.,58, 1.
Kerlick, G. D. (1976).Ann. Phys. N. Y.,99, 127.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kuchowicz, B. Friedmann-like cosmological models without singularity. Gen Relat Gravit 9, 511–517 (1978). https://doi.org/10.1007/BF00759545
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00759545