Skip to main content
Log in

Friedmann-like cosmological models without singularity

  • Research Articles
  • Published:
General Relativity and Gravitation Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Hawking, S. W., and Ellis, G. F. R. (1973).The Large Scale Structure of Space-time (Cambridge University Press, Cambridge).

    Google Scholar 

  2. Hehl, F. W. (1973/4).Gen. Rel. Grav.,4, 333;5, 491.

    Google Scholar 

  3. Trautman, A. (1972).Bull Acad. Pol. Sci., Sér. Sci. Math., Astron. Phys.,20, 185, 503, 895.

    Google Scholar 

  4. Trautman, A. (1973).Istit. Naz. Alta Mat., Symp. Mat.,12, 139.

    Google Scholar 

  5. Kuchowicz, B., (1975).Acta Cosmologica,3, 109.

    Google Scholar 

  6. Weyssenhoff, J., and Raabe, A. (1947).Acta Phys. Pol.,9, 7.

    Google Scholar 

  7. Weyssenhoff, J. (1947).Acta Phys. Pol.,9, 26.

    Google Scholar 

  8. Weyssenhoff, J. (1958).Max-Planck-Festschrift (Deutscher Verlag der Wissenschaften, Berlin), p. 155.

    Google Scholar 

  9. Kuchowicz, B. (1976).Astrophys. Space Sci.,39, 157.

    Google Scholar 

  10. Kuchowicz, B. (1976).Acta Cosmologica,4, 67.

    Google Scholar 

  11. Hehl, F. W., von der Heyde, P., Kerlick, G. D., and Nester, J. M. (1976),Rev. Mod. Phys.,48, 393.

    Google Scholar 

  12. Kantowski, R., Sachs, R. K. (1966).J. Math. Phys.,7, 443.

    Google Scholar 

  13. Stewart, J., and Hajiček, P. (1973),Nature (London) Phys. Sci.,244, 96.

    Google Scholar 

  14. Trautman, A. (1973).Nature (London) Phys. Sci.,242, 7.

    Google Scholar 

  15. Hehl, F. W., von der Heyde, P., and Kerlick, G. D., (1974).Phys. Rev. D,10, 1066.

    Google Scholar 

  16. Kundt, W. (1971).Springer Tracts Mod. Phys.,58, 1.

    Google Scholar 

  17. Kerlick, G. D. (1976).Ann. Phys. N. Y.,99, 127.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints 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

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00759545

Keywords

Navigation