Topology beyond the horizon: how far can it be probed?
Topology beyond the horizon: how far can it be probed?
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地平线之外的拓扑：可以探测多远？
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
J. Uzan
中科院分区：
文献类型：
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作者：
O. Fabre;S. Prunet;J. Uzan
标准的宇宙学模型并不能决定宇宙的空间拓扑。这篇文章重新审视了一个非平凡的拓扑结构对宇宙微波背景各向异性性质的影响。我们表明，球谐函数的温度和偏振各向异性的膨胀系数的相关函数，编码的拓扑签名，可用于区分一个多连通空间从一个无限的空间上的尺寸大于最后的散射表面。仪器噪声和银河切割的影响进行了估计。因此，我们建立边界的最大环面dintinguisable与温度和偏振CMB数据的大小。我们还描述了3点函数和非高斯性的空间拓扑的印记。
The standard cosmological model does not determine the spatial topology of the universe. This article revisits the signature of a non-trivial topology on the properties of the cosmic microwave background anisotropies. We show that the correlation function of the coefficients of the expansion of the temperature and polarization anisotropies in spherical harmonics, encodes a topological signature that can be used to distinguish a multi-connected space from an infinite space on sizes larger than the last scattering surface. The effect of the instrumental noise and of a galactic cut are estimated. We thus establish boundaries for the size of the biggest torus dintinguisable with temperature and polarization CMB data. We also describe the imprint of the spatial topology on the 3-point function and on non-Gaussianity.