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Imprints of Spherical Nontrivial Topologies on the Cosmic Microwave Background

2007/02/28 by Anastasia Niarchou, A. H. Jaffe, Andrew Jaffe · 3 citations
Physics and Astronomy · #Advanced Differential Geometry Research #Cosmology and Gravitation Theories #Radio Astronomy Observations and Technology #astro-ph

paper · pdf · doi:10.1103/physrevlett.99.081302

published as Phys.Rev.Lett.99:081302,2007 · More comments and references added, results and conclusions unchanged. This version to appear in PRL

arxiv created 2007/08/24 · openalex publication_date 2007/08/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The apparent low power in the cosmic microwave background (CMB) temperature anisotropy power spectrum derived from the Wilkinson Microwave Anisotropy Probe motivated us to consider the possibility of a nontrivial topology. We focus on simple spherical multiconnected manifolds and discuss their implications for the CMB in terms of the power spectrum, maps, and the correlation matrix. We perform a Bayesian model comparison against the fiducial best-fit cold dark matter model with a cosmological constant based both on the power spectrum and the correlation matrix to assess their statistical significance. We find that the first-year power spectrum shows a slight preference for the truncated cube space, but the three-year data show no evidence for any of these spaces.

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