Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2001-05-02
Gen.Rel.Grav. 33 (2001) 2027-2048
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
17 pages, 8 ps figures. To appear in Gen. Rel. Grav
Scientific paper
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.
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