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Limits on the Detectability of Cosmic Topology in Hyperbolic Universes

G. I. Gomero·M. J. Reboucas·R. Tavakol
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Abstract

We reexamine the possibility of the detection of the cosmic topology in nearly flat hyperbolic Friedmann-Lemaitre-Robertson-Walker (FLRW) universes by using patterns repetition. We update and extend our recent results in two important ways: by employing recent observational constraints on the cosmological density parameters as well as the recent mathematical results concerning small hyperbolic 3-manifolds. This produces new bounds with consequences for the detectability of the cosmic topology. In addition to obtaining new bounds, we also give a concrete example of the sensitive dependence of detectability of cosmic topology on the uncertainties in the observational values of the density parameters.

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G. I. Gomero, M. J. Reboucas, R. Tavakol. 2002-10-04. Limits on the Detectability of Cosmic Topology in Hyperbolic Universes. https://doi.org/10.1142/s0217751x02013307

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