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

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

2006-11-07

arxiv.org/abs/astro-ph/0611244v2

Mon.Not.Roy.Astron.Soc.375:128-136,2007

Astronomy and Astrophysics

Astrophysics

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

Scientific paper

10.1111/j.1365-2966.2006.11269.x

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.

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