Skip to main content
SpringerLink
Log in

Exact spatially homogeneous cosmologies

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

Abstract

We consider perfect fluid spatially homogeneous cosmological models. Starting with a new exact solution of Blanchi type VIII, we study generalizations which lead to new classes of exact solutions. These new solutions are discussed and classified in several ways. In the original type VIII solution, the ratio of matter shear to expansion is constant, and we present a theorem which delimits those space-times for which this condition holds.

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. Ellis, G. F. R., and MacCallum, M. A. H. (1969).Commun. Math. Phys.,12, 108.

    Google Scholar 

  2. MacCallum, M. A. H. (1973). “Cosmological Models from a Geometric Point of View,” inCargèse Lectures in Physics, vol. 6. Lectures at the International Summer School of Physics, Cargèse, Corsica, 1971, Ed. E. Schatzman (Gordon and Breach, New York).

    Google Scholar 

  3. Ellis, G. F. R. (1967).J. Math. Phys.,8, 1171.

    Google Scholar 

  4. Stewart, J. M., and Ellis, G. F. R. (1968).J. Math. Phys.,9, 1072.

    Google Scholar 

  5. Wilkinson, D. A. (1979). “On Exact, Perfect Fluid Solutions of the Einstein Field Equations,” Ph.D. thesis, University of Windsor (unpublished).

  6. Glass, E. N. (1977).J. Math. Phys.,18, 708.

    Google Scholar 

  7. Stephani, H. (1967).Commun. Math. Phys.,5, 337.

    Google Scholar 

  8. Canuto, V., Datta, B., and Kalman, G. (1978).Astrophys. J.,221, 274.

    Google Scholar 

  9. Canuto, V. (1978).Riv. Nuovo Cimento,1, 1.

    Google Scholar 

  10. Jacobs, K. C. (1968).Astrophys. J.,153, 661.

    Google Scholar 

  11. Collins, C. B. (1971).Commun. Math. Phys.,23, 137.

    Google Scholar 

  12. Collins, C. B. (1977).Phys. Lett.,60A, 397.

    Google Scholar 

  13. Damião Soares, I., and Assad, M. J. D. (1978).Phys. Lett.,66A, 359.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Applied Mathematics, University of Waterloo, N2L 3G1, Waterloo, Ontario, Canada

    C. B. Collins

  2. Department of Physics, University of Windsor, N9B 3P4, Windsor, Ontario, Canada

    E. N. Glass & D. A. Wilkinson

Authors
  1. C. B. Collins
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. E. N. Glass
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. D. A. Wilkinson
    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

Collins, C.B., Glass, E.N. & Wilkinson, D.A. Exact spatially homogeneous cosmologies. Gen Relat Gravit 12, 805–823 (1980). https://doi.org/10.1007/BF00763057

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00763057

Keywords

Search

Navigation