Skip to main content
Log in

Cosmologies based on Lyra's geometry

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

Abstract

It is pointed out that the cosmologies based on Lyra's manifold, with constant gauge-vector which have been studied in the literature, will either include a creation field and be equal to Hoyle's creation field cosmology, or contain a special vacuum fluid which together with the gauge-vector term may be considered as a cosmological term. In the latter case the solutions are equal to the general relativistic cosmologies with a cosmological term.

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. Einstein, A. (1917).Preuss. Akad. Wiss. Berlin, Sitzungsber., 142.

  2. Lyra, G. (1951).Math. Z.,54, 52.

    Google Scholar 

  3. Sen, D. K. (1957).Z. Phys.,149, 311.

    Google Scholar 

  4. Sen, D. K., and Dunn, K. A. (1971).J. Math. Phys.,12, 578.

    Google Scholar 

  5. Halford, W. D. (1970).Australian J. Phys.,23, 863.

    Google Scholar 

  6. Bhamra, K. S. (1974).Australian J. Phys.,27, 541.

    Google Scholar 

  7. Kalyanshetti, S. B., and Waghmode, B. B. (1982).Gen. Rel. Grav.,14, 823.

    Google Scholar 

  8. Beesham, A. (1986).Astrophys. Space Sci.,127, 189.

    Google Scholar 

  9. Soleng, H. H. (1987).Astrophys. Space Sci.,134, 405.

    Google Scholar 

  10. Hoyle, F. (1948).Mon. Not. Roy. Astr. Soc.,108, 372.

    Google Scholar 

  11. Sen, D. K., and Vanstone, J. R. (1972).J. Math. Phys.,13, 990.

    Google Scholar 

  12. Weyl, H. (1923).Phys. Z.,24, 230.

    Google Scholar 

  13. Narlikar, J. V. (1983).Introduction to Cosmology, (Jones and Bartlett Publishers, Inc.), p. 91–94.

  14. Bishop, R. L., and O'Neill, B. (1969).Trans. Amer. Math. Soc.,145, 1.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Soleng, H.H. Cosmologies based on Lyra's geometry. Gen Relat Gravit 19, 1213–1216 (1987). https://doi.org/10.1007/BF00759100

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00759100

Keywords

Navigation