Journal Article

A survey of lens spaces and large-scale cosmic microwave background anisotropy

R. Aurich and S. Lustig

in Monthly Notices of the Royal Astronomical Society

Published on behalf of The Royal Astronomical Society

Volume 424, issue 2, pages 1556-1562
Published in print August 2012 | ISSN: 0035-8711
Published online August 2012 | e-ISSN: 1365-2966 | DOI: http://dx.doi.org/10.1111/j.1365-2966.2012.21363.x
A survey of lens spaces and large-scale cosmic microwave background anisotropy

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Abstract

The cosmic microwave background (CMB) anisotropy possesses the remarkable property that its power is strongly suppressed on large angular scales. This observational fact can naturally be explained by cosmological models with a non-trivial topology. The paper focuses on lens spaces L(p, q) which are realized by a tessellation of the spherical three-space by cyclic deck groups of order p≤ 72. The investigated cosmological parameter space covers the interval Ωtot∈ [1.001, 1.05]. Several spaces are found which have CMB correlations on angular scales ϑ≥ 60° suppressed by a factor of 2 compared to the simply connected space. The analysis is based on the S statistics, and a comparison to the 7-year Wilkinson Microwave Anisotropy Probe data is carried out. Although the CMB suppression is less pronounced than in the Poincaré dodecahedral space, these lens spaces provide an alternative worth for follow-up studies.

Keywords: cosmic microwave background; cosmology: theory; large-scale structure of Universe

Journal Article.  4028 words.  Illustrated.

Subjects: Astronomy and Astrophysics

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