%0 Journal Article
%T On topological restrictions of the spacetime in cosmology
%A T. Asselmeyer-Maluga
%A J. Krol
%J Physics
%D 2012
%I arXiv
%R 10.1142/S0217732312501350
%X 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.
%U http://arxiv.org/abs/1206.4796v1