On topological restrictions of the spacetime in cosmology
arXiv:1206.4796 · doi:10.1142/S0217732312501350
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.
arXiv comment11 pages, 3 figures, accepted in Mod. Phys. Lett. A
References in corpus (11)
- Loop Quantum Cosmology: A Status Report
- Quantum Nature of the Big Bang
- Dodecahedral space topology as an explanation for weak wide-angle temperature correlations in the cosmic microwave background
- The optimal phase of the generalised Poincare dodecahedral space hypothesis implied by the spatial cross-correlation function of the WMAP sky maps
- Do we Live in a "Small Universe"?
- Topology Change and Causal Continuity
- Hyperbolic Universes with a Horned Topology and the CMB Anisotropy
- Causal continuity in degenerate spacetimes
- CMB Alignment in Multi-Connected Universes
- Can one reconstruct masked CMB sky?
- Cosmic microwave anisotropies in an inhomogeneous compact flat universe