Discrete Symmetries in Translation Invariant Cosmological Models

Abstract

In this paper we investigate a class of (d+1) dimensional cosmological models with a cosmological constant possessing an R^d simply transitive symmetry group and show that it can be written in a form that manifests the effect of a permutation symmetry. We investigate the solution orbifold and calculate the probability of a certain number of dimensions that will expand or contract. We use this to calculate the probabilities up to dimension d=5.

17 pages, 8 ps figures. To appear in Gen. Rel. Grav

References in corpus (3)

• The Bianchi Type I minisuperspace model
• Gravitational instantons, extra dimensions and form fields
• Gravitational instantons and internal dimensions

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