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arxiv: 1206.4796 · v1 · pith:NBMVQS5Inew · submitted 2012-06-21 · 🌀 gr-qc · astro-ph.CO· hep-th

On topological restrictions of the spacetime in cosmology

classification 🌀 gr-qc astro-ph.COhep-th
keywords modelrestrictionscosmologypoincarespacetimeallowedcosmicdifferential
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In this paper we discuss the restrictions of the spacetime for the standard model of cosmology by using results of the differential topology of 3- and 4-manifolds. The smoothness of the cosmic evolution is the strongest restriction. The Poincare model (dodecaeder model), the Picard horn and the 3-torus are ruled out by the restrictions but a sum of two Poincare spheres is allowed.

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