Supernovae observations and cosmic topology

Abstract

Two fundamental questions regarding our description of the Universe concern the geometry and topology of its 3-dimensional space. While geometry is a local characteristic that gives the intrinsic curvature, topology is a global feature that characterizes the shape and size of the 3-space. The geometry constrains, but does not dictate the the spatial topology. We show that, besides determining the spatial geometry, the knowledge of the spatial topology allows to place tight constraints on the density parameters associated with dark matter (${\Omega }_m$) and dark energy (${\Omega }_{\Lambda }$). By using the Poincaré dodecahedral space as the observable spatial topology, we reanalyze the current type Ia supenovae (SNe Ia) constraints on the density parametric space ${\Omega }_m-{\Omega }_{\Lambda }$. From this SNe Ia plus cosmic topology analysis, we found best fit values for the density parameters, which are in agreement with a number of independent cosmological observations.

5 pages, 2 figures. Minor changes and a ref. added. To appear in A&A (2006)

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Cited by in corpus (4)

• Pre-Inflationary Spacetime in String Cosmology
• Limits of the circles-in-the-sky searches in the determination of cosmic topology of nearly flat universes
• Circles-in-the-sky searches and observable cosmic topology in the inflationary limit
• A relativistic model of the topological acceleration effect