%0 Journal Article
%T An Alternative Manifold for Cosmology Using Seifert Fibered and Hyperbolic Spaces
%A Maria E. Mej¨ªa
%A Reinaldo R. Rosa
%J Applied Mathematics
%P 1013-1028
%@ 2152-7393
%D 2014
%I Scientific Research Publishing
%R 10.4236/am.2014.56096
%X <p style=\"text-align:justify;\">
	We propose a model with
3-dimensional spatial sections, constructed from hyperbolic cusp space glued to
Seifert manifolds which are in this case homology spheres. The topological part
of this research is based on Thurston¡¯s conjecture which states that any
3-dimensional manifold has a canonical decomposition into parts, each of which
has a particular geometric structure. In our case, each part is either a
Seifert fibered or a cusp hyperbolic space. In our construction we remove tubular
neighbourhoods of singular orbits in areas of Seifert fibered manifolds using a
splice operation and replace each with a cusp hyperbolic space. We thus
achieve elimination of all singularities, which appear in the standard-like
cosmological models, replacing them by ¡°a torus to infinity¡±. From this
construction, we propose an alternative manifold for cosmology with finite
volume and without Friedmann-like singularities. This manifold was used for
calculating coupling constants. Obtaining in this way a theoretical explanation
for fundamental forces is at least in the sense of the hierarchy.
</p>
%K Topology
%K Cosmology
%K Thurston¡¯s Theory
%K Singularity-Free
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=44609