Confrontation of CMB data and multiconnected models of constant positive curvature universes

Abstract

Multiconnected Universes can possibly explain the low multipole suppression observed in Cosmic Microwave Background data. We compare complete predicted correlation patterns of the temperature fluctuations in the multiconnected models with constant positive curvature to what is observed in WMAP experiment. Likelihood for three models is computed as the function of the curvature which controls the size of the multiconnected Universe relative to distance travelled by CMB photons. As curvature increases from zero for the Universe that is nearly flat and infinite, the size of the multiconnected space becomes smaller than photon horizon. There, predicted correlation patterns change from featureless to more complex. Our analysis gives no evidence for such small topological spaces. During transition likelihood curves for all three investigated spaces show similar features, attributed to the alignment of model correlation patterns to random features in the unique observed CMB realization, and not selective of a specific multiconnected space.