A spatial correlation analysis for a toroidal universe

Abstract

The spatial cross-correlation function xi_C recently introduced by Roukema et al. is applied to the equilateral toroidal topology of the universe. Several CMB maps based on the WMAP 5yr data are analysed and a small likelihood in favour of a torus cell is revealed. The results are compared to ten LCDM simulations which point to a high false positive rate of the spatial-correlation-function method such that a firm conclusion cannot be drawn.

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• On the suspected timing error in WMAP map-making
• The size of the Universe according to the Poincare dodecahedral space hypothesis
• Cosmic microwave anisotropies in an inhomogeneous compact flat universe
• Deep redshift topological lensing: strategies for the T^3 candidate
• What can the detection of a single pair of circles-in-the-sky tell us about the geometry and topology of the Universe ?
• Lagrange multiplier and Wess-Zumino variable as large extra dimensions in the torus universe
• Ellipticity of Structures in CMB Sky Maps
• A search for nontoroidal topological lensing in the Sloan Digital Sky Survey quasar catalog
• Cosmic Topology : Twenty Years After
• A measure on the set of compact Friedmann-Lemaitre-Robertson-Walker models
• A spatial-correlation analysis of the cubic 3-torus topology based on the Planck 2013 data
• On the possibility for constraining cosmic topology from the celestial distribution of astronomical objects
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• Orbifold construction of the modes of the Poincare dodecahedral space
• Dark energy as a spatial continuity condition
• Loop Quantum Cosmology on a Torus