Astronomy and Astrophysics – Astronomy
Scientific paper
Apr 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984azh....61..226s&link_type=abstract
(Astronomicheskii Zhurnal, vol. 61, Mar.-Apr. 1984, p. 226-233) Soviet Astronomy (ISSN 0038-5301), vol. 28, Mar.-Apr. 1984, p. 1
Astronomy and Astrophysics
Astronomy
Cosmology, Gravitation, Neutrinos, Particle Collisions, Particle Theory, Asymptotic Properties, Integral Equations, Kinetic Theory, Perturbation Theory
Scientific paper
A kinetic theory is worked out for the development of gravitational instability in a system of collisionless particles (massive neutrinos) during the nonrelativistic expansion phase of a critical density universe (Einstein-de Sitter cosmology), with the self-gravitating mass points having a nonequilibrium, decidedly non-Maxwellian background distribution function. An integral equation is obtained to describe the growth of fluctuations, and an analog to the dispersion function for plasma is derived. Asymptotic solutions of the integral equation for wavelengths much longer than the Jeans length, and the comparative properties of the dispersion functions in the short-wave limit, indicate that in these cases the principal qualitative results previously obtained for a collisionless Maxwellian gas will hold true for the problem at hand.
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