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Constraining cosmological models with cluster power spectra
Authors:J Retzlaff  S Borgani  S Gottlöber  A Klypin  V Müller
Institution:

a Astrophysikalisches Institut Potsdam, An der Sternwarte 16, D-14482 Potsdam, Germany

b INFN Sezione di Perugia, c/o Dipartimento di Fisica dell'Università, via A. Pascoli, I-06100 Perugia, Italy

c Department of Astronomy, New Mexico State University, Las Cruces, NM 88001, USA

Abstract:Using extensive N-body simulations we estimate redshift space power spectra of clusters of galaxies for different cosmological models (SCDM, TCDM, CHDM, ΛCDM, OCDM, BSI, τCDM) and compare the results with observational data for Abell–ACO clusters. Our mock samples of galaxy clusters have the same geometry and selection functions as the observational sample which contains 417 clusters of galaxies in a double cone of galactic latitude |b|>30° up to a depth of 240 h?1 Mpc. The power spectrum has been estimated for wave numbers k in the range 0.03less, approximatekless, approximate0.2 h Mpc?1. For k>kmaxsimilar, equals0.05 h Mpc?1 the power spectrum of the Abell–ACO clusters has a power-law shape, P(k)∝kn, with n≈?1.9, while it changes sharply to a positive slope at k<kmax. By comparison with the mock catalogues SCDM, TCDM (n=0.9), and also OCDM with Ω0=0.35 are rejected. Better agreement with observation can be found for the ΛCDM model with Ω0=0.35 and h=0.7 and the CHDM model with two degenerate neutrinos and ΩHDM=0.2 as well as for a CDM model with broken scale invariance (BSI) and the τCDM model. As for the peak in the Abell–ACO cluster power spectrum, we find that it does not represent a very unusual finding within the set of mock samples extracted from our simulations.
Keywords:Cosmology: theory  Dark matter  Large-scale structure of universe  Galaxies: clusters
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