Massive neutrinos and the anisotropy of the cosmic microwave background radition

The growth of primordial adiabatic density perturbations in a universe model containing massive neutrinos is investigated in the linear approximation. The final spectra of perturbations are computed for the initial amplitudes obeying power laws: |delta|2approx.ksup(n). The resulting spectra are not amplitude-modulated by an oscillatory function. The mass distribution autocorrelation function is also calculated. The comparison of the above characteristics of matter distribution with observations suggests that the initial spectrum of perturbations should be steep. The anisotropy of the relic radiation is predicted. The theoretical small-scale variation of the radiation temperature is an order of magnitude below the present observational upper limits. (author)