Supernovae Constraints on Cosmological Density Parameter and Cosmic Topology

preprint2007arXivOpen access

Abstract

We illustrate the constraints that a possible detection of a non-trivial spatial topology may place on the cosmological density parameters by considering the ΛΛCDM model Poincaré dodecahedal space (PDS) topology as a circles-in-the-sky detectable topology. To this end we reanalyze the type Ia supernovae constraints on the density parameter plane ΩkΩ_k--ΩΛΩ_Λ and show that a circles-in-the-sky detectable PDS topology gives rise to important constraints on this parameters plane.

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