Mathematics – Logic
Scientific paper
Aug 2003
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003basbr..23...64m&link_type=abstract
Boletim da Sociedade Astronômica Brasileira (ISSN 0101-3440), vol.23, no.1, p. 64-64
Mathematics
Logic
Scientific paper
In the standard cosmological model, the matter-energy content of the universe is currently dominated by dark-matter (which triggers the formation of large-scale structures) and dark-energy (which drives the accelerated expansion of the universe). Although this scenario is successful in explaining a number of cosmological observations it has two components whose nature is unknown. Recently, considerable work has been devoted to models in which the gravitational clustering and acceleration are different manifestations of a single component. The most popular unifying candidate is the generalized Chaplygin gas (GCG). Somewhat parallel to these developments, a great deal of work has also recently gone into studying the possibility of a non-trivial topology for the spatial section M of the universe. A fair number of these studies, including the question as to whether one can detect a possibly non-trivial topology of M, have concentrated on cases where the matter-energy content is modeled within a LCDM framework. In this contribution we report the results of our studies on the problem detectability of cosmic topology of nearly flat universes (W0~1) in a context where the matter-energy content is dominated by a GCG. We determine which topologies of large families of nearly flat spherical (W0 > 1) and hyperbolic (W0 < 1) universes are undetectable or even excluded in a universe dominated by a GCG, taking into account the current observational limits on this model for the energy-matter content. We also investigate the sensitivity of detectability to these parameters, and examine to what extent prior assumptions on the detectability of the topology may constrain the GCG parameters.
Makler Martin
Mota B.
Rebouças M.
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