The Hantzsche-Wendt Manifold in Cosmic Topology
Abstract
The Hantzsche-Wendt space is one of the 17 multiply connected spaces of the three-dimensional Euclidean space E^3. It is a compact and orientable manifold which can serve as a model for a spatial finite universe. Since it possesses much fewer matched back-to-back circle pairs on the cosmic microwave background (CMB) sky than the other compact flat spaces, it can escape the detection by a search for matched circle pairs. The suppression of temperature correlations C(theta) on large angular scales on the CMB sky is studied. It is shown that the large-scale correlations are of the same order as for the 3-torus topology but express a much larger variability. The Hantzsche-Wendt manifold provides a topological possibility with reduced large-angle correlations that can hide from searches for matched back-to-back circle pairs.
Keywords
Cite
@article{arxiv.1403.2190,
title = {The Hantzsche-Wendt Manifold in Cosmic Topology},
author = {Ralf Aurich and Sven Lustig},
journal= {arXiv preprint arXiv:1403.2190},
year = {2015}
}