General Relativity and Gravitation

, Volume 12, Issue 10, pp 805–823

Exact spatially homogeneous cosmologies

  • C. B. Collins
  • E. N. Glass
  • D. A. Wilkinson
Research Articles


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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Ellis, G. F. R., and MacCallum, M. A. H. (1969).Commun. Math. Phys.,12, 108.Google Scholar
  2. 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. 3.
    Ellis, G. F. R. (1967).J. Math. Phys.,8, 1171.Google Scholar
  4. 4.
    Stewart, J. M., and Ellis, G. F. R. (1968).J. Math. Phys.,9, 1072.Google Scholar
  5. 5.
    Wilkinson, D. A. (1979). “On Exact, Perfect Fluid Solutions of the Einstein Field Equations,” Ph.D. thesis, University of Windsor (unpublished).Google Scholar
  6. 6.
    Glass, E. N. (1977).J. Math. Phys.,18, 708.Google Scholar
  7. 7.
    Stephani, H. (1967).Commun. Math. Phys.,5, 337.Google Scholar
  8. 8.
    Canuto, V., Datta, B., and Kalman, G. (1978).Astrophys. J.,221, 274.Google Scholar
  9. 9.
    Canuto, V. (1978).Riv. Nuovo Cimento,1, 1.Google Scholar
  10. 10.
    Jacobs, K. C. (1968).Astrophys. J.,153, 661.Google Scholar
  11. 11.
    Collins, C. B. (1971).Commun. Math. Phys.,23, 137.Google Scholar
  12. 12.
    Collins, C. B. (1977).Phys. Lett.,60A, 397.Google Scholar
  13. 13.
    Damião Soares, I., and Assad, M. J. D. (1978).Phys. Lett.,66A, 359.Google Scholar

Copyright information

© Plenum Publishing Corporation 1980

Authors and Affiliations

  • C. B. Collins
    • 1
  • E. N. Glass
    • 2
  • D. A. Wilkinson
    • 2
  1. 1.Department of Applied MathematicsUniversity of WaterlooWaterlooCanada
  2. 2.Department of PhysicsUniversity of WindsorWindsorCanada

Personalised recommendations