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http://eprints.org/relation/isVersionOf http://eprints.iliauni.edu.ge/id/document/1394 http://eprints.org/relation/isVolatileVersionOf http://eprints.iliauni.edu.ge/id/document/1394 http://eprints.org/relation/issmallThumbnailVersionOf http://eprints.iliauni.edu.ge/id/document/1394 archive 131 disk0/00/00/03/78 2014-01-27 08:57:35 2015-03-27 06:54:54 2014-01-27 08:57:35 article show Arhipova Natalia Kahniashvili Tina tinatin@iliauni.edu.ge Lukash Vladimir N. pub QB public The time evolution of the number density of galaxy clusters and their mass and temperature functions are used to constrain cosmological parameters in the spatially flat dark matter models containing hot particles (massive neutrino) as well as cold and baryonic matter. We test the modified MDM (Lambda =0) models with cosmic gravitational waves and show that they neither pass the cluster evolution test nor reproduce the observed height of the first acoustic peak in Delta T/T spectrum, and therefore should be ruled out. The models with a non-zero cosmological constant are in better agreement with observations. We estimate the free cosmological parameters in Lambda MDM with a negligible abundance of gravitational waves, and find that within the parameter ranges hin (0.6, 0.7), nin (0.9, 1.1), fnu equiv Omeganu /Omegam in (0, 0.2), (i) the value of OmegaLambda is strongly affected by a small fraction of hot dark matter: ;0.45 <OmegaLambda <0.7 (1sigma CL), and (ii) the redshift evolution of galaxy clusters alone reveals the following explicit relation between OmegaLambda and fnu : \Omega_\Lambda +0.5f_\nu =0.65\pm 0.1. This degeneracy is also expected in LSS tests (with a smaller error). The present accuracy of observational data allows to bound the fraction of hot matter, f_nu in (0, 0.2); the number of massive neutrino species remains undelimited, Nnu = 1, 2, 3. 2002 submitted Astronomy and Astrophysics 386 775-783 TRUE