General Relativity and Gravitation

, Volume 24, Issue 1, pp 47–58 | Cite as

Geodesic Bianchi type cosmological models

  • D. Sklavenites
Research Articles
  • 60 Downloads

Abstract

Some perfect fluid solutions of Einstein's field equations are obtained in spacetimes with two hypersurface orthogonal space-lika commuting Killing vectors. The flow is assumed to be geodesic. The solutions depend on an arbitrary function of time which determines the equation of state. In the models derived one additional Killing vector exists and the solutions are actually Bianchi-type cosmological models.

Keywords

Field Equation Differential Geometry Arbitrary Function Cosmological Model Perfect Fluid 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Stewart, J. M., and Ellis, G. F. R. (1968).J. Math. Phys. 9, 1072.Google Scholar
  2. 2.
    Dunn, K. A., and Tapper, B. O. J. (1976).Astrophys. J.,204, 322.Google Scholar
  3. 3.
    Van den Bergh, N. (1988).Gen. Rel. Grav. 20, 131.Google Scholar
  4. 4.
    Narain, S. (1988).Gen. Rel. Grav. 20, 15.Google Scholar
  5. 5.
    Szafron, D., and Wainwright, J. (1977).J. Math. Phys. 18, 1668.Google Scholar
  6. 6.
    Szekeres, D. (1975).Commun. Math. Phys.,41, 55.Google Scholar
  7. 7.
    Van den Bergh, N. (1988).Class. Quant. Grav. 5, 167.Google Scholar
  8. 8.
    Wainwright, J. (1981).J. Phys. A: Math. Gen.,14, 1131.Google Scholar

Copyright information

© Plenum Publishing Corporation 1992

Authors and Affiliations

  • D. Sklavenites
    • 1
  1. 1.Technological Educational Institute (TEI) of PireasEgaleoGreece

Personalised recommendations