Cosmological tests based on the abundance of galaxy clusters
Tóm tắt
We present a new normalization for the linear density-perturbation spectrum in a multi-parameter model of the Universe. Using the differential mass function for the nearly galaxy clusters obtained from optical data, we have constructed a functional relation between the dispersion of the density contrast σ
8 on the scale 8h
−1 Mpc and the cosmological parameters Ω
m
, ΩΛ, h, n, f
v
for each of three theoretical approximations of the mass function: Press-Schechter, Sheth-Tormen and Jenkins. An extended class of models of the Universe with general spatial curvature include four parameters for the matter components: baryons (Ω
b
), “cold” dark matter (Ω
c
), “hot” dark matter (Ω
v
), and the vacuum energy (ΩΛ). It is shown that the most accurate normalization of the power spectrum is achieved with the Sheth-Tormen approximation.
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