On topological restrictions of the spacetime in cosmology
General Relativity and Quantum Cosmology
2012-07-27 v1 Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1206.4796,
title = {On topological restrictions of the spacetime in cosmology},
author = {T. Asselmeyer-Maluga and J. Krol},
journal= {arXiv preprint arXiv:1206.4796},
year = {2012}
}
Comments
11 pages, 3 figures, accepted in Mod. Phys. Lett. A