Vajner, B. K.; Nasel’skij, P. D. The quasilinear relaxation of the distribution function for the relativistic collisionless gravitating particles in the expanding universe. (Russian. English summary) Zbl 0544.70002 Astron. Zh. 61, No. 3, 450-459 (1984). Summary: The potential and tensor perturbations of space-time metrics and the massless particles distribution function (radiation, neutrinos etc.) in the isotropic and homogeneous Universe are considered. The equations for fluctuation correlation functions are obtained from the set of Vlasov- Einstein equations. The influence of potential and tensor perturbations on the rate of the Universe expansion and on the massless particles spectrum is considered in the random-phase approximation. It is shown that for both types of fluctuations, the diffusion of a massles subsystem in the momentum space and the growth of particles’ average energy take place. The cosmological consequences of relic background and high- frequency graviation waves decoupling are discussed. Cited in 1 Review MSC: 70A05 Axiomatics, foundations 83F05 Relativistic cosmology Keywords:quasilinear relaxation; collisionless gravitating particles; potential and tensor perturbations of space-time metrics; massless particles distribution function; radiation; neutrinos; isotropic and homogeneous Universe; fluctuation correlation functions; Vlasov-Einstein equations; rate of the Universe expansion; massless particles spectrum; random-phase approximation; momentum space; growth of particles’ average energy; high- frequency graviation waves decoupling PDFBibTeX XMLCite \textit{B. K. Vajner} and \textit{P. D. Nasel'skij}, Astron. Zh. 61, No. 3, 450--459 (1984; Zbl 0544.70002)