Cosmological tests based on the abundance of galaxy clusters |
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Authors: | A M Malinovsky V N Lukash E V Mikheeva |
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Institution: | (1) Astro Space Center, Lebedev Physical Institute, Russian Academy of Sciences, Profsoyuznaya st. 84/32, Moscow, 117810, Russia |
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Abstract: | 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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