The Hantzsche?Wendt manifold in cosmic topology

  title={The Hantzsche?Wendt manifold in cosmic topology},
  author={R. Aurich and S. Lustig},
  journal={Classical and Quantum Gravity},
The Hantzsche–Wendt space is one of the 17 multiply connected spaces of the three-dimensional Euclidean space . 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 on large angular scales on the CMB… Expand

Figures and Tables from this paper

Planck 2015 results. XVIII. Background geometry & topology
Full-sky CMB maps from the 2015 Planck release allow us to detect departures from global isotropy on the largest scales. We present the first searches using CMB polarization for correlations inducedExpand
Planck 2013 results - XXVI. Background geometry and topology of the Universe
Maps of cosmic microwave background (CMB) temperature and polarization from the 2015 release of Planck data provide the highestquality full-sky view of the surface of last scattering available toExpand
Planck 2015 results: XVIII. Background geometry and topology of the Universe
Maps of cosmic microwave background (CMB) temperature and polarization from the 2015 release of Planck data provide the highest quality full-sky view of the surface of last scattering available toExpand
Black magic session of concordance: Regge mass spectrum from Casson's invariant
Recently, there had been a great deal of interest in obtaining and describing of all kinds of knots in links in hydrodynamics, electrodynamics, non Abelian gauge field theories and gravity. AlthoughExpand
The variance of the CMB temperature gradient: a new signature of a multiply connected Universe
In this work we investigate the standard deviation of the Cosmic Microwave Background (CMB) temperature gradient field as a signature for a multiply connected nature of the Universe. CMB simulationsExpand
Deformations Of G2-Structures, String Dualities And Flat Higgs Bundles
DEFORMATIONS OF G2-STRUCTURES, STRING DUALITIES AND FLAT HIGGS BUNDLES Rodrigo de Menezes Barbosa Tony Pantev, Advisor We study M-theory compactifications on G2-orbifolds and their resolutions givenExpand


Computing CMB anisotropy in compact hyperbolic spaces
The measurements of CMB anisotropy have opened up a window for probing the global topology of the universe on length scales comparable to and beyond the Hubble radius. For compact topologies, the twoExpand
Topology beyond the horizon: how far can it be probed?
The standard cosmological model does not determine the spatial topology of the universe. This article revisits the signature of a non-trivial topology on the properties of the cosmic microwaveExpand
The circles-in-the-sky signature for three spherical universes
The mysteriously low cosmic microwave background (CMB) power on the largest scales might point to a Universe which consists of a multi-connected space. In addition to a suppression of large-scaleExpand
Cosmic microwave background anisotropies in multiconnected flat spaces
This article investigates the signature of the seventeen multiconnected flat spaces in cosmic microwave background (CMB) maps. For each such space it recalls a fundamental domain and a set ofExpand
COBE and global topology: an example of the application of the identified circles principle
The significance to which the cosmic microwave background (CMB) observations by the satellite COBE can be used to refute a specific observationally based hypothesis for the global topologyExpand
Constraints on the Topology of the Universe: Extension to General Geometries
We present an update to the search for a non-trivial topology of the universe by searching for matching circle pairs in the cosmic microwave background using the WMAP 7 year data release. We extendExpand
Circles in the sky : finding topology with the microwave background radiation
If the universe is finite and smaller than the distance to the surface of last scatter, then the signature of the topology of the universe is writ large on the microwave background sky. We show thatExpand
Circles-in-the-sky searches and observable cosmic topology in a flat universe
In a universe with a detectable nontrivial spatial topology, the last scattering surface contains pairs of matching circles with the same distribution of temperature fluctuations--the so-calledExpand
Constraining the topology of the universe.
The first year data from the Wilkinson Microwave Anisotropy Probe are used to place stringent constraints on the topology of the Universe, and the nondetection rules out the possibility that the authors live in a universe with topology scale smaller than 24 Gpc. Expand
Orbifold line topology and the cosmic microwave background
We extend our study of a universe with a non-classical stringy topology, and consider an orbifold line topology, × 2/p. This topology has a fixed line and identifies each point in space with p−1Expand