A comparison of void distributions in Abell cluster catalogue with numerical simulations

Details A comparison of void distributions in Abell cluster catalogue with numerical simulations A comparison of void distributions in Abell cluster catalogue with numerical simulations

Aug 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989stin...9019173j&link_type=abstract

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Mathematics

Probability

Astronomical Catalogs, Galactic Clusters, Probability Theory, Red Shift, Statistical Analysis, Cosmology, Gauss Equation, Neutrinos, Voids

Scientific paper

The void probability functions (VPF) was measured for two virtually redshift complete samples of Abell clusters, and used to test four current theoretical models. The VPF of R greater than or = 1 clusters is lower than that of the explosion model by about one order. The open CDM model (Omega = 0.2) is excluded at greater than or = 3 sigma also due to oversuperclustering. The VPF of the flat neutrinos dominated universe is consistent with the observations, and the flat CDM model could be marginally accepted at 2 sigma in matching the observational VPF. However, all four models are unsuccessful if we combine the two point correlation function and VPF.

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