@Article{MejíaRosa:2014:AlMaCo,
author = "Mej{\'{\i}}a, Maria Esther and Rosa, Reinaldo Roberto",
affiliation = "{Universidad de Guadalajara} and {Instituto Nacional de Pesquisas
Espaciais (INPE)}",
title = "An Alternative Manifold for Cosmology Using Seifert Fibered and
Hyperbolic Spaces",
journal = "Applied Mathematics",
year = "2014",
volume = "5",
number = "6",
pages = "1013--1028",
keywords = "Fibered Spaces, Singularity-Free, Topology, Cosmology.",
abstract = "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 Thurstons 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.",
doi = "10.4236/am.2014.56096",
url = "http://dx.doi.org/10.4236/am.2014.56096",
issn = "2152-7385",
label = "lattes: 2840176439889517 2 Mej{\'{\i}}aRosa:2014:AlMaCo",
language = "pt",
targetfile = "AM_2014040817143961.pdf",
url = "http://www.scirp.org/journal/PaperInformation.aspx?PaperID=44609#.U0TALig5Eb1",
urlaccessdate = "03 dez. 2020"
}