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Exact spatially homogeneous cosmologies
Authors:C. B. Collins  E. N. Glass  D. A. Wilkinson
Affiliation:(1) Department of Applied Mathematics, University of Waterloo, N2L 3G1 Waterloo, Ontario, Canada;(2) Department of Physics, University of Windsor, N9B 3P4 Windsor, Ontario, Canada
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.
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