On topological restrictions of the spacetime in cosmology - INSPIRE

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On topological restrictions of the spacetime in cosmology

Torsten Asselmeyer-Maluga
(
- DLR, Berlin and
- Loyola U., New Orleans
)
,
Jerzy Krol
(
- Silesia U.
)

Jun, 2012

11 pages

Published in:

Mod.Phys.Lett.A 27 (2012) 1250135

e-Print:

1206.4796 [gr-qc]

DOI:

10.1142/S0217732312501350

View in:

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Abstract: (arXiv)

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.

Note:

11 pages, 3 figures, accepted in Mod. Phys. Lett. A

04.60.Gw
02.40.Ma
04.60.Rt
Topological restrictions
smoothness of cosmic evolution
homology three-spheres
Poincare
topology: transition
torus
cosmological model

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