Cosmic microwave background radiation in an inhomogeneous spherical space
Cosmic microwave background radiation in an inhomogeneous spherical space
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非均匀球形空间中的宇宙微波背景辐射
DOI：
10.1088/0031-8949/84/05/055901
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发表时间：
2011
期刊：
影响因子：
2.9
通讯作者：
S. Lustig
中科院分区：
文献类型：
--
作者：
R. Aurich;P. Kramer;S. Lustig
本文分析了具有非平凡拓扑结构的球形三维空间中的宇宙微波背景辐射。重点是具有依赖于观察者的CMB属性的非同质空间。分析了微波背景各向异性在大角度尺度上对微波背景观测者位置的抑制。给出了透镜空间与柏拉图立方空间的等价性，并将其用于谐波分析。给出了微波背景多极辐射振幅随观测者位置的函数变换。根据三球面上不变多项式展开系数的平方，得到了一般的和规则。
We analyse the cosmic microwave background (CMB) radiation in spherical three-spaces with nontrivial topology. The focus is on an inhomogeneous space which possesses observer-dependent CMB properties. The suppression of the CMB anisotropies on large angular scales is analysed with respect to the position of the CMB observer. The equivalence of a lens space to a Platonic cubic space is shown and used for the harmonic analysis. We give the transformation of the CMB multipole radiation amplitude as a function of the position of the observer. General sum rules are obtained in terms of the squares of the expansion coefficients for invariant polynomials on the three-sphere.