Cosmological evolution of the cosmological plasma with interpartial scalar interaction. II. Formulation of mathematical model

TL;DR

This paper develops a mathematical model for the evolution of a self-gravitating plasma with scalar interactions, based on relativistic kinetic theory, providing a framework for cosmological studies involving such matter.

Contribution

It formulates a self-consistent system of equations describing scalar-interacting plasma in cosmology, advancing the theoretical modeling of such systems.

Findings

Derived macroscopical laws of preservation.

Established a closed system of equations for cosmological models.

Provided a foundation for future numerical simulations.

Abstract

On the basis of the relativistic kinetic theory the relativistic statistical systems with scalar interaction particles are investigated. The self-consistent system of the equations describing self-gravitating plasma with interpartial scalar interaction is formulated, macroscopical laws of preservation are received. The closed system of the equations describing cosmological models to which the matter is presented by plasma with interpartial scalar interaction is received.