Minkowski functionals of Abell/ACO clusters | Zendy

M. Kerscher | Zendy; Jens Schmalzing | Zendy; J. Retzlaff | Zendy; S. Borgani | Zendy; Thomas Buchert | Zendy; Stefan Gottlöber | Zendy; V. Müller | Zendy; M. Plionis | Zendy; HermannJosef Wagner | Zendy

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Minkowski functionals of Abell/ACO clusters

Author(s) -

M. Kerscher,

Jens Schmalzing,

J. Retzlaff,

S. Borgani,

Thomas Buchert,

Stefan Gottlöber,

V. Müller,

M. Plionis,

HermannJosef Wagner

Publication year - 1997

Publication title -

monthly notices of the royal astronomical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.058

H-Index - 383

eISSN - 1365-8711

pISSN - 0035-8711

DOI - 10.1093/mnras/284.1.73

Subject(s) - physics , minkowski space , statistical physics , redshift , astrophysics , mathematical physics , galaxy

We determine the Minkowski functionals for a sample of Abell/ACO clusters,401 with measured and 16 with estimated redshifts. The four Minkowskifunctionals (including the void probability function and the mean genus)deliver a global description of the spatial distribution of clusters on scalesfrom $10$ to $60\hMpc$ with a clear geometric interpretation. Comparisons withmock catalogues of N--body simulations using different variants of the CDMmodel demonstrate the discriminative power of the description. The standard CDMmodel and the model with tilted perturbation spectrum cannot generate theMinkowski functionals of the cluster data, while a model with a cosmologicalconstant and a model with breaking of the scale invariance of perturbations(BSI) yield compatible results.Comment: 10 pages, 13 Postscript figures, uses epsf.sty and mn.sty (included), submitted to MNRA

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