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 ${{\mathbb{E}}^{3}}$ 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 $C(\vartheta )$ C ( θ ) 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 three-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.
- Publication:
-
Classical and Quantum Gravity
- Pub Date:
- August 2014
- DOI:
- 10.1088/0264-9381/31/16/165009
- arXiv:
- arXiv:1403.2190
- Bibcode:
- 2014CQGra..31p5009A
- Keywords:
-
- cosmology;
- cosmic microwave background;
- topology;
- large scale structure;
- 98.80.-k;
- 98.70.Vc;
- 98.80.Es;
- Astrophysics - Cosmology and Nongalactic Astrophysics
- E-Print:
- Class. Quantum Grav. 31 (2014) 165009