On the linear theory of density perturbations in a neutrino+baryon universe

Details On the linear theory of density perturbations in a neutrino+baryon universe On the linear theory of density perturbations in a neutrino+baryon universe

Aug 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981apj...248....1w&link_type=abstract

Astrophysical Journal, Part 1, vol. 248, Aug. 15, 1981, p. 1-12.

Astronomy and Astrophysics

Astrophysics

53

Baryons, Cosmology, Density Distribution, Gravitational Effects, Neutrinos, Particle Mass, Galactic Evolution, Linear Equations, Oscillations, Perturbation Theory, Universe, Vibration Damping

Scientific paper

Various aspects of the linear theory of density perturbations in a universe containing a significant population of massive neutrinos are calculated. The fluctuation spectrum of the neutrino density perturbations, just after photon decoupling, is expected to peak near the maximum neutrino Jeans mass because linear perturbations in the neutrino density are subject to nonviscous damping on length scales smaller than the effective neutrino Jeans length. An expression is derived for the maximum neutrino Jeans mass found to be about an order of magnitude smaller than the one obtained when nonneutrino species are ignored. An expression is also derived for the nonviscous damping of neutrino density perturbations less massive than the maximum neutrino Jeans mass. The linear evolution of density perturbations after photon decoupling is considered. It is thought that fluctuations in the neutrino density induce baryon density perturbations after photon decoupling and that the maximum neutrino Jeans mass determines the characteristic bound mass of galaxy clusters.

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