Topology of the Las Campanas Redshift Survey

Abstract

The topology of the Las Campanas Redshift Survey is analyzed using Minkowski functional statistics, taking into account the selection effects of the survey. The results are compared with the predictions of some toy models of structure formation, including the Standard Cold Dark Matter Model and topological defect-based models. All of the toy models have a scale invariant primordial spectrum of perturbations, but quite different topologies. The statistics can discriminate between the predictions of the models with high significance. Amongst the four Minkowski functionals, the integrated mean curvature statistic appears to be the most powerful discriminant, followed by the genus statistic. None of the models considered gives an acceptable fit to the data.

arXiv comment10 pages, 16 figures; minor text changes and references added

References in corpus (21)

• A Flat Universe from High-Resolution Maps of the Cosmic Microwave Background Radiation
• MAXIMA-1: A Measurement of the Cosmic Microwave Background Anisotropy on angular scales of 10 arcminutes to 5 degrees
• The Las Campanas Redshift Survey
• The Luminosity Function of Galaxies in the Las Campanas Redshift Survey
• Power Spectra in Global Defect Theories of Cosmic Structure Formation
• Topological Defects and Structure Formation
• Beyond genus statistics: a unifying approach to the morphology of cosmic structure
• Shapefinders: A new shape diagnostic for large scale structure
• Redshift Evolution of Galaxy Cluster Densities
• Disentangling the Cosmic Web I: Morphology of Isodensity Contours
• Spatial Distribution of Low Surface Brightness Galaxies
• A detail study of defect models for cosmic structure formation
• Minkowski Functionals of Abell/ACO Clusters
• Evidence for Filamentarity in the Las Campanas Redshift Survey
• A Cosmic String Specific Signature on the Cosmic Microwave Background
• Two Dimensional Topology of Large Scale Structure in the Las Campanas Redshift Survey
• Filaments and Pancakes in the IRAS 1.2 Jy Redshift Catalogue
• Topology from the Simulated Sloan Digital Sky Survey
• ACCRETION OF HOT DARK MATTER ONTO SLOWLY MOVING COSMIC STRINGS
• Accretion of Cold and Hot Dark Matter onto Cosmic String Filaments
• Numerical Methods in Cosmological Global Texture Simulations

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• Lensing and CMB Anisotropies by Cosmic Strings at a Junction
• Using the filaments in the LCRS to test the LambdaCDM model
• Searching for Signatures of Cosmic String Wakes in 21cm Redshift Surveys using Minkowski Functionals
• Note on Structure Formation from Cosmic String Wakes