A test of the Poincare dodecahedral space topology hypothesis with the WMAP CMB data

Abstract

It has been suggested by Roukema and coworkers (hereafter R04) that the topology of the Universe as probed by the ``matched circles'' method using the first year release of the WMAP CMB data, might be that of the Poincaré dodecahedral space (PDS) model. An excess in the correlation of the ``identified circles'' was reported by R04, for circles of angular radius of ~11 deg for a relative phase twist -36deg, hinting that this could be due to a Clifford translation, if the hypothesized model were true. R04 did not however specify the statistical significance of the correlation signal. We investigate the statistical significance of the signal using Monte Carlo CMB simulations in a simply connected Universe, and present an updated analysis using the three-year WMAP data. We find that our analyses of the first and three year WMAP data provide results that are consistent with the simply connected space at a confidence level as low as 68%.

arXiv comment8 pages, 6 figures, typo corrected/replaced to match version published in A&A

References in corpus (27)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• HEALPix -- a Framework for High Resolution Discretization, and Fast Analysis of Data Distributed on the Sphere
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Foreground Emission
• Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Temperature Analysis
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Angular Power Spectrum
• Dodecahedral space topology as an explanation for weak wide-angle temperature correlations in the cosmic microwave background
• Circles in the Sky: Finding Topology with the Microwave Background Radiation
• Constraining the Topology of the Universe
• A Hint of Poincaré Dodecahedral Topology in the WMAP First Year Sky Map
• Extending the WMAP Bound on the Size of the Universe
• Can COBE see the shape of the universe?
• Constraints on the topology of the universe from the 2-yr COBE data
• Simulating Cosmic Microwave Background maps in multi-connected spaces
• Hyperbolic Universes with a Horned Topology and the CMB Anisotropy
• A new analysis of Poincaré dodecahedral space model
• Imprints of spherical non-trivial topologies on the CMB
• Computation of eigenmodes on a compact hyperbolic 3-space
• Constraining topology in harmonic space
• Non-Random Phases in Non-Trivial Topologies
• Detecting topology in a nearly flat hyperbolic universe
• COBE and Global Topology: An Example of the Application of the Identified Circles Principle
• On the detectability of non-trivial topologies
• Detectability of Cosmic Topology in Flat Universes
• Constraints On The Topology Of The Universe From The WMAP First-Year Sky Maps
• Dodecahedral topology fails to explain quadrupole-octupole alignment
• Constraining Cosmic Topology with CMB Polarization

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• Planck 2013 results. XXVI. Background geometry and topology of the Universe
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• The Status of Cosmic Topology after Planck Data
• The Topology and Size of the Universe from CMB Temperature and Polarization Data
• An improved cosmic crystallography method to detect holonomies in flat spaces
• The Topology and Size of the Universe from the Cosmic Microwave Background
• A spatial correlation analysis for a toroidal universe
• The study of topology of the universe using multipole vectors
• The residual gravity acceleration effect in the Poincare dodecahedral space
• Poincare dodecahedral space parameter estimates
• Hemispherical power asymmetry: parameter estimation from CMB WMAP5 data
• Cosmic Topology of Polyhedral Double-Action Manifolds
• How well-proportioned are lens and prism spaces?
• A measure on the set of compact Friedmann-Lemaitre-Robertson-Walker models
• On the possibility for constraining cosmic topology from the celestial distribution of astronomical objects
• Which FLRW comoving 3-manifold is preferred observationally and theoretically?
• Orbifold construction of the modes of the Poincare dodecahedral space
• A coordinate-independent technique for detecting globally inhomogeneous flat topologies
• Does gravity prefer the Poincare dodecahedral space?
• Some spaces are more equal than others
• Dark energy as a spatial continuity condition