Constraints on neutrino-dominated cosmologies from large-scale streaming motion

Mathematics – Logic

Scientific paper

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Astronomical Models, Big Bang Cosmology, Neutrinos, Relic Radiation, Background Radiation, Galactic Evolution, Microwaves, Velocity Distribution

Scientific paper

The streaming motion due to long-wavelength density perturbations is calculated for neutrino-dominated cosmological models. The predictions of the models are compared with the observed motion, relative to the background radiation, of a region surrounding us that has an effective diameter of aproximately 50/h Mpc. If it is assumed that the velocity of this region is typical, then the primary structure ('pancakes') can only just be forming at the present, and the short-wavelength cutoff, which sets the scale of the structures is limited to be approximately 12 Mpc, corresponding to a neutrino mass of aproximately 100 eV and a Hubble parameter H = 100 km/s Mpc. In order to have pancakes forming at z = 3.5, to account for the existence of QSOs, it is necessary to assume that the velocity of the region surrounding us must be uncharacteristically low, such that only 5 percent of hypothetical observers would determine such a low velocity.

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