A note on cosmological parameters and the topology of the universe

Astronomy and Astrophysics – Astrophysics

Scientific paper

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5 pages, 2 figures, revtex4. Prepared for 100 Years of Relativity: International Conference on Classical and Quantum Aspects o

Scientific paper

Given the wealth of increasingly accurate cosmological observations, especially the recent results from the WMAP, and the development of methods and strategies in the search for cosmic topology, it is reasonable to expect that we should be able to detect the spatial topology of the Universe in the near future. Motivated by this, we examine to what extent a possible detection of a nontrivial topology of positively curved universe may be used to place constraints on the matter content of the Universe. We show through concrete examples that the knowledge of the spatial topology allows to place constraints on the density parameters associated to dark matter ($\Omega_m$) and dark energy ($\Omega_{\Lambda}$)

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