Cold plus hot dark matter and structure formation of the universe

Computer Science – Numerical Analysis

Scientific paper

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Anisotropy, Dark Matter, Density, Galactic Evolution, Neutrinos, Red Shift, Relativistic Particles, Universe, Free Flow, Gravitation, Hubble Constant, Numerical Analysis, Quasars, Vlasov Equations

Scientific paper

Cold plus hot (neutrino) dark matter models are studied and compared with the tilted cold dark matter models (which have a non-Zel'dovich initial density perturbation spectrum). For the hybrid dark matter models, a simpler treatment for the relativistic neutrinos is presented. The numerical results of this treatment are shown to be in good agreement with those given by other authors. Comparing the theoretical and the observational results of the quadrupole fluctuations of the cosmic background radiation and the large-scale velocity field of galaxies, the hybrid dark matter models require a fraction of neutrino density OMEGAnu approximately equals 0.3, a fraction of cold dark matter OMEGA c approximately equals 0.7 and a number of massive neutrino species Nnu = 1 for the case of Hubble's constant Ho = 50km/s/Mpc. The distribution of comoving number density of quasars at high redshifts is studied using the Press-Schechter theory. The calculations show that the hybrid dark matter model (OMEGAc approximately equals 0.7, OMEGAnu approximately equals 0.3) and the tilted cold dark matter CDM model with n = 0.7 to 0.8 both account for the observed quasar abundance at high redshift.

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