Ellipticity of Structures in CMB Sky Maps

Abstract

We study the ellipticity of contour lines in the sky maps of the cosmic microwave background (CMB) as well as other measures of elongation. The sensitivity of the elongation on the resolution of the CMB maps which depends on the pixelization and the beam profile of the detector, is investigated. It is shown that the current experimental accuracy does not allow to discriminate between cosmological models which differ in curvature by Delta Omega_tot=0.05. Analytical expressions are given for the case that the statistical properties of the CMB are those of two-dimensional Gaussian random fields.

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• Model-independent analyses of non-Gaussianity in Planck CMB maps using Minkowski Functionals
• Minkowski Tensors in Two Dimensions - Probing the Morphology and Isotropy of the Matter and Galaxy Density Fields
• Tensor Minkowski Functionals for random fields on the sphere
• The variance of the CMB temperature gradient: a new signature of a multiply connected Universe
• Cosmic Topology of Polyhedral Double-Action Manifolds
• Excess ellipticity of hot and cold spots in the WMAP data?
• Comment on the "Excess ellipticity of hot and cold spots WMAP data?" by Berntsen, E. and Hansen, F.K