Asymptotic breaking and restoration of symmetry in a statistical system of particles with short-range vector interaction and isotropic cosmological models

Mathematics – Logic

Scientific paper

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Astronomical Models, Asymptotic Methods, Broken Symmetry, Cosmology, Elementary Particle Interactions, Statistical Analysis, Baryons, Cosmic Plasma, Kinetic Equations, Mesons, Particle Mass, Relativistic Particles

Scientific paper

Consideration is given to Friedman models for an ultrarelativistic and nonrelativistic mixture of baryons and antibaryons, interacting through heavy vector mesons in the charge-asymmetric case. It is shown that breaking and restoration of symmetry can occur in a statistical system of particles interacting through a massive Proca vector field on the background of a Schwarzschild field (the gravitational field of a black hole). In the case of a certain relationship between the concentration and temperature of the equilibrium baryon-antibaryon plasma, the symmetry of the solution of the initial equations breaks down as r goes to infinity, and is restored near the gravitational radius. Isotropic cosmological models are constructed in the case of the repulsion of particles of like charge as well as in the case of attraction.

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