Topological lensing in spherical spaces
Topological lensing in spherical spaces
复制标题
球面空间中的拓扑透镜
DOI：
10.1088/0264-9381/18/23/311
复制
发表时间：
2001
影响因子：
3.5
通讯作者：
J. Weeks
中科院分区：
文献类型：
--
作者：
E. Gausmann;R. Lehoucq;J. Luminet;J. Uzan;J. Weeks
本文给出了所有三维球面流形的构造和完整分类，并在具有正空间曲率的多连通宇宙模型的背景下按体积递减对它们进行排序。它讨论了哪些球形拓扑可能可以通过使用宇宙物体三维目录的晶体学方法来检测。预测了对分离直方图的预期形式（包括尖峰的位置和高度）并与计算机模拟进行比较，表明该方法对于观测不确定性是稳定的，并且非常适合检测球形拓扑。
This paper gives the construction and complete classification of all three-dimensional spherical manifolds and orders them by decreasing volume, in the context of multi-connected universe models with positive spatial curvature. It discusses which spherical topologies are likely to be detectable by crystallographic methods using three-dimensional catalogues of cosmic objects. The expected form of the pair separation histogram is predicted (including the location and height of the spikes) and is compared to computer simulations, showing that this method is stable with respect to observational uncertainties and is well suited for detecting spherical topologies.