1996/06/20 by M. Kerscher, J. Schmalzing, Jens Schmalzing +11 · 4 citations
Physics and Astronomy · #Astrophysics #Cosmology and Gravitation Theories #Galaxy #Mathematical physics #Minkowski space #Physics #Redshift #Scientific Research and Discoveries #Statistical physics #Stellar, planetary, and galactic studies #astro-ph
paper · pdf · doi:10.1093/mnras/284.1.73
published as Mon.Not.Roy.Astron.Soc. 284 (1997) 73-84 · 10 pages, 13 Postscript figures, uses epsf.sty and mn.sty (included), submitted to MNRAS
arxiv created 1996/06/20 · openalex publication_date 1997/01/01 · arxiv updated 2015/06/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We determine the Minkowski functionals for a sample of Abell/ACO clusters, 401 with measured and 16 with estimated redshifts. The four Minkowski functionals (including the void probability function and the mean genus) deliver a global description of the spatial distribution of clusters on scales from 10 to 60 Mh−1 Mpc with a clear geometric interpretation. Comparisons with mock catalogues of N-body simulations using different variants of the CDM model demonstrate the discriminative power of the description. The standard CDM model and the model with a tilted perturbation spectrum cannot generate the Minkowski functionals of the cluster data, while a model with a cosmological constant and a model with breaking of the scale invariance of perturbations (BSI) yield compatible results.