Topology of large-scale structure in the 2dF Galaxy Redshift Survey

Abstract

We investigate the topology of the completed 2dF Galaxy Redshift Survey, drawing two flux-limited samples of the local Universe from the 2dFGRS catalogue, which contains over 220,000 galaxies at a median redshift of z = 0.11. The samples are cut at z = 0.2 and corrected for selection effects. We then use the three-dimensional genus statistic to probe the connectedness of the galaxy distribution on scales ranging from 8 to 20 Mpc, and compare these measurements with the analytical result for a Gaussian random density field, a generic prediction of inflationary models. We demonstrate consistency with inflation on the range of scales considered. We then introduce a parameterisation of the analytic genus curve formula that is sensitive to asymmetries in genus number as a function of density and use it to demonstrate that such phenomena are ruled out with 95% confidence between 8 and 16 Mpc.

arXiv comment11 pages, 9 figures, accepted for publication in MNRAS; reference corrected

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• Large-Scale Structure of the Universe as a Cosmic Standard Ruler
• Galaxy Clustering Topology in the Sloan Digital Sky Survey Main Galaxy Sample: a Test for Galaxy Formation Models
• Toward understanding rich superclusters
• The XXL Survey: VI. The 1000 brightest X-ray point sources
• Structure in the 3D Galaxy Distribution: I. Methods and Example Results
• Topology of non-linear structure in the 2dF Galaxy Redshift Survey
• Topology of Luminous Red Galaxies from the Sloan Digital Sky Survey
• Two-dimensional Topology of Cosmological Reionization
• Physics of non-Gaussian fields and the cosmological genus statistic
• Gusts in the Headwind: Uncertainties in Direct Dark Matter Detection
• Large-Scale Structure Topology in Non-Standard Cosmologies: Impact of Dark Sector Physics