Topological Lensing in Spherical Spaces

Details Topological Lensing in Spherical Spaces Topological Lensing in Spherical Spaces

2001-06-11

arxiv.org/abs/gr-qc/0106033v1

Class.Quant.Grav.18:5155-5186,2001

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

32 pages, 26 figures

Scientific paper

10.1088/0264-9381/18/23/311

This article gives the construction and complete classification of all three-dimensional spherical manifolds, and orders them by decreasing volume, in the context of multiconnected universe models with positive spatial curvature. It discusses which spherical topologies are likely to be detectable by crystallographic methods using three-dimensional catalogs 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.

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