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

DOI: 10.1007/BF00763057

Cite this article as:
Collins, C.B., Glass, E.N. & Wilkinson, D.A. Gen Relat Gravit (1980) 12: 805. doi:10.1007/BF00763057

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.

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