Constraining Cosmic Topology with CMB Polarization

Abstract

Multiply connected space sections of the universe on a scale smaller than the horizon size can leave an imprint on cosmic microwave background polarization maps, in such a way that the so-called ``circles-in-the-sky'' method can be used to detect or constrain the topology. We investigate some specific cases, namely toroidal and sixth-turn spaces, in order to show the influence of topology on CMB polarization. The correlation between matched points happens to be always positive and higher than 75% regardless of the angular scale and of the cosmological parameters, except for reionization. This figure is better than what occurs in temperature maps, but is achieved only in the absence of noise. It is only slightly reduced by the filtering scheme.

10 pages, submitted to PRD

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• The Status of Cosmic Topology after Planck Data
• A test of the Poincare dodecahedral space topology hypothesis with the WMAP CMB data
• A search for cosmic topology in the final WMAP data
• A search for concentric rings with unusual variance in the 7-year WMAP temperature maps using a fast convolution approach
• Orbifold construction of the modes of the Poincare dodecahedral space