Evolution of adiabatic fluctuations in massive-neutrino-dominated universe models

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Adiabatic Conditions, Astronomical Models, Fluctuation Theory, Neutrinos, Universe, Amplitudes, Background Radiation, Big Bang Cosmology, Dark Matter, Galactic Evolution, Mass, Spherical Harmonics

Scientific paper

A canonical case of three neutrinos with masses of about 30 eV is discussed theoretically in terms of their influence on linear adiabatic fluctuations in the early universe. The interest in hot dark matter was encouraged by the possibility that gravitational instabilities in massive neutrinos could account for current structures in the universe. Unity is assumed for the density parameter and a value of much less for the baryonic density parameter (0.03). Matter and radiation are treated as fluids and neutrinos in terms of phase space distributions. The discussion focuses on gravitational interactions between the three components, Thomson scattering between electrons and photons, and the evolution of fluctuations to scales of 10 to the 14th to 10 to the 19th solar masses. The growth of fluctuations above 10 to the 15th solar masses is shown to depend on dark matter after matter-radiation decoupling. A dependency is found between the mass scale of a first nonlinear collapse regime and the primeval spectral index.

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