1206.4796 (T. Asselmeyer-Maluga et al.)

On topological restrictions of the spacetime in cosmology    [PDF]

T. Asselmeyer-Maluga, J. Krol

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.

View original: http://arxiv.org/abs/1206.4796