Skip to main content
SpringerLink
Log in

The early Weyl universe

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

Abstract

The consequences of a period of Weyl invariance in the early universe are investigated. It is argued that the natural outcome of such a period is a Kaluza-Klein style compactification of an internal space in which any time variation of the scale factor of this space is absorbed (via a Weyl transformation) into the gravitational coupling. A five-dimensional test model is shown to undergo exponential inflation of the space-time sector due to a false vacuum state of the non-metric part of the connection.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Weyl, H. (1918).Sitzungsber. Preuss. Akad. Wiss. Berlin, 465.

  2. Minkowski, P. (1977).Phys. Lett. 71B, 419.

    Google Scholar 

  3. Nieh, H. T. (1982).Phys. Lett. 88A, 388.

    Google Scholar 

  4. Zee, A. (1979).Phys. Rev. Lett. 42, 417.

    Google Scholar 

  5. Baekler, P., Hehl, F. W., and Mielke, E. W. (1986). InProceedings of the IV Marcel Grossmann meeting in General Relativity, Rome, R. Ruffini, ed. (Eisevier, Amsterdam).

    Google Scholar 

  6. Hehl, F. W., McCrea, J. D., and Mielke, E. W. (1987/1988). InExakte Wissenschaften und ihre philosphische Grundlegung. Vorträge des Internationalen Hermann-Weyl-Kongresses, Kiel 1985, W. Deppert, K. Hubner, A. Oberschelp, and V. Weidemann, eds. (Verlag Peter Lang, Frankfurt).

    Google Scholar 

  7. Hehl, F. W., McCrea, J. D., Mielke, E. W., and Ne'eman, Y. (1989).Found. Phys. 19, 1075.

    Google Scholar 

  8. Bradfield, T. (1990).Gen. Rel. Grav. 22, 665.

    Google Scholar 

  9. Kalinowski, M. (1983).Int. J. Theor. Phys. 22, 385.

    Google Scholar 

  10. Kalinowski, M. (1984).Int. J. Theor. Phys. 23, 131.

    Google Scholar 

  11. Gasperini, M. (1986).Phys. Rev. D 33, 3594.

    Google Scholar 

  12. Bradfield, T. (1989).Gen. Rel. Grav. 21, 665.

    Google Scholar 

  13. Bradfield, T. (1990).Gen. Rel. Grav. 22, 217.

    Google Scholar 

  14. Schruefer, E. (1986). EXCALC:A System for Doing Calculations in the Calculus of Modern Differential Geometry (Rand Corporation, Santa Monica, California)

    Google Scholar 

  15. Hearn, A. (1987). REDUCEUser's Manual, version 3.3 (Rand Corporation CP78, Santa Monica, California).

    Google Scholar 

  16. La, D. and Steinhardt, P. J. (1989).Phys. Rev. Lett. 62, 376.

    Google Scholar 

  17. Accetta, F. S., Zoller, D. J., and Turner, M. S. (1985).Phys. Rev. D 31, 3046.

    Google Scholar 

  18. Fakir, R., and Unruh, W. G., (1990).Phys. Rev. D 41, 1783.

    Google Scholar 

  19. Barr, S., and Segre, G. (1990).Phys. Rev. D 41, 2398.

    Google Scholar 

  20. Linde, A. (1990).Phys. Lett. 238B, 160.

    Google Scholar 

  21. Guth, A. H. (1981).Phys. Rev. D 23, 347.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. College of Natural Science and Mathematics, Northeastern State University, 74464, Tahlequah, Oklahoma, USA

    Terry Bradfield

Authors
  1. Terry Bradfield
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bradfield, T. The early Weyl universe. Gen Relat Gravit 24, 373–387 (1992). https://doi.org/10.1007/BF00760413

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00760413

Keywords

Search

Navigation