Quasilinear relaxation of the distribution function for collisionless, relativistic gravitating particles in an expanding universe

Astronomy and Astrophysics – Astronomy

Scientific paper

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Collisionless Plasmas, Distribution Functions, Gravitational Waves, Particle Diffusion, Relativistic Particles, Universe, Astronomical Models, Einstein Equations, Expansion, Perturbation Theory, Relaxation (Mechanics), Vlasov Equations

Scientific paper

In a model universe homogeneous and isotropic in the mean, potential-type and tensor-type perturbations of the spacetime metric and of the collisionless-particle (photons, neutrinos, ...) distribution function are considered. The Vlasov-Einstein equations yield expressions for the perturbation correlators. The influence of the potential and tensor fluctuations upon the rate of cosmological expansion and the collisionless-particle spectrum is treated in the random-phase approximation. For both types of perturbations the collisionless subsystem will undergo diffusion in momentum space, causing the particles to gain energy and strengthening the high-frequency part of their spectrum. The coupling of the cosmic background radiation with high-frequency gravitational waves has important astrophysical implications.

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