A survey of lens spaces and large‐scale cosmic microwave background anisotropy
A survey of lens spaces and large‐scale cosmic microwave background anisotropy
复制标题
透镜空间和大尺度宇宙微波背景各向异性的调查
DOI：
10.1111/j.1365-2966.2012.21363.x
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发表时间：
2012
影响因子：
4.8
通讯作者：
S. Lustig
中科院分区：
文献类型：
--
作者：
R. Aurich;S. Lustig
宇宙微波背景辐射的各向异性具有显著的特性，即其功率在大角度尺度上受到强烈的抑制。这一观测事实自然可以用具有非平凡拓扑结构的宇宙学模型来解释。本文主要研究由p≤ 72阶循环甲板群对球面三维空间进行镶嵌而形成的透镜空间L（p，q）。所研究的宇宙学参数空间覆盖区间Ωtot∈ [1.001，1.05]。发现了几个空间，与单连通空间相比，它们在角度尺度θ≥ 60°上的CMB相关性被抑制了2倍。分析是基于S统计，并进行了比较，7年的威尔金森微波各向异性探测器的数据。虽然CMB抑制不如庞加莱十二面体空间中明显，但这些透镜空间为后续研究提供了另一种价值。
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 Poincare dodecahedral space, these lens spaces provide an alternative worth for follow-up studies.