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

Physics

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Scientific paper

The author has measured the void probability functions (VPF) for two virtually redshift complete samples of Abell clusters, and used them to test four current theoretical models. The VPF of R ≥ 1 clusters is lower than that of the explosion model by about one order. The open CDM model (Ω = 0.2) is excluded at ≥3σ 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 2σ in matching the observational VPF. However, all four models are unsuccessful if one combines the two-point correlation function and VPF.

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