The study of topology of the Universe using multipole vectors
The study of topology of the Universe using multipole vectors
复制标题
使用多极向量研究宇宙拓扑
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
A. Riazuelo
中科院分区：
文献类型：
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作者：
P. Bielewicz;A. Riazuelo
我们研究了多极矢量为基础的分解宇宙微波背景数据，以寻找宇宙的多连通拓扑的签名。利用10 6个模拟图，分析了单连通平坦宇宙和拓扑为3环面宇宙的最低阶多极子在天空中的多极子矢量分布，以及基于多极子矢量点积和的统计概率分布函数.估计的概率获得较低的值相比，这些统计数据的5年威德金森微波各向异性探测器的数据表明，观察到的四极和八极的对齐是统计上有利的3-torus拓扑结构，其中至少有一个维度的基本域是显着短于直径的可观测宇宙，相比通常的标准简单连接的宇宙。然而，所获得的结果都不能明确排除后者（在97%以上的置信水平上）。多极矢量统计似乎不是很敏感的签名3-torus拓扑结构，如果较短的维度域变得可比的直径可观测的宇宙。不幸的是，签名也被集成的萨克斯-沃尔夫效应显著稀释。
We study a multipole vector-based decomposition of cosmic microwave background data in order to search for signatures of a multiconnected topology of the universe. Using 10 6 simulated maps, we analyse the multipole vector distribution on the sky for the lowest order multipoles together with the probability distribution function of statistics based on the sum of the dot products of the multipole vectors for both the simply connected flat universe and universes with the topology of a 3 torus. The estimated probabilities of obtaining lower values for these statistics as compared to the 5-yr Widkinson Microwave Anisotropy Probe data indicate that the observed alignment of the quadrupole and octopole is statistically favoured in a 3-torus topology where at least one dimension of the fundamental domain is significantly shorter than the diameter of the observable Universe, as compared to the usual standard simply connected universe. However, none of the obtained results is able to clearly rule out the latter (at more than 97 per cent confidence level). Multipole vector statistics do not appear to be very sensitive to the signatures of a 3-torus topology if the shorter dimension of the domain becomes comparable to the diameter of the observable Universe. Unfortunately, the signatures are also significantly diluted by the integrated Sachs-Wolfe effect.