Minkowski functionals of Abell/ACO clusters
Abstract
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 60h^-1Mpc 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.
- Publication:
-
Monthly Notices of the Royal Astronomical Society
- Pub Date:
- January 1997
- DOI:
- 10.1093/mnras/284.1.73
- arXiv:
- arXiv:astro-ph/9606133
- Bibcode:
- 1997MNRAS.284...73K
- Keywords:
-
- METHODS: STATISTICAL;
- GALAXIES: CLUSTERS: GENERAL;
- LARGE-SCALE STRUCTURE OF UNIVERSE;
- Astrophysics
- E-Print:
- 10 pages, 13 Postscript figures, uses epsf.sty and mn.sty (included), submitted to MNRAS