Mathematics – Logic
Scientific paper
Jan 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984zhetf..86...13k&link_type=abstract
Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki (ISSN 0044-4510), vol. 86, Jan. 1984, p. 13-24. In Russian.
Mathematics
Logic
1
Big Bang Cosmology, Gravitational Waves, Relativistic Plasmas, Two Fluid Models, Einstein Equations, Gravitational Collapse, Gravitons, Linear Evolution Equations, Neutrinos, Vlasov Equations
Scientific paper
A general solution to a self-consistent linearized system of Einstein and Vlasov equations is obtained which describes the evolution of long-wave perturbations of the gravitational-wave type in a two-component Friedman universe that contains an ultrarelativistic ideal fluid and an ultrarelativistic collisionless gas. In contrast to the hydrodynamic approximation, first considered by Lifshitz, the kinetic picture for development of perturbations in a medium that is statistically not in equilibrium includes in the general case an infinite set of partial modes. On the assumption of local equilibrium in the initial stage of cosmological expansion, the conditions for the excitation of partial modes at the moment when a neutrino separates from the primordial radiation-dominated plasma are analyzed. It is shown that when the contribution made by gravitons to space-time curvature is neglected, the evolution of long gravitational waves in an ultrarelativistic two-component Friedman universe can be described by the classical theory of Lifshiftz; that is, the collisionless nature of the neutrino does not manifest itself.
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