Collisionless self-gravitating statistical systems of scalar interacting particles

TL;DR

This paper develops a theoretical framework for collisionless self-gravitating systems with scalar interactions, providing exact and asymptotic solutions to the Vlasov and Einstein equations for cosmological models.

Contribution

It introduces a mathematical model for scalar-interacting collisionless systems and derives exact and asymptotic solutions for isotropic homogeneous cosmological scenarios.

Findings

Exact solution of Vlasov equation for a homogeneous universe.

Asymptotic solutions for self-consistent Vlasov-Einstein models.

Insights into scalar interaction effects in cosmological evolution.

Abstract

This paper is devoted to consideration of the theory of collisionless statistical systems with interparticle scalar interaction. The mathematical model of such systems is constructed and the exact solution of Vlasov equation for isotropic homogenous model of the Universe is found. Asymptotic solutions of self-consistent Vlasov - Einstein model for conformally invariant scalar interactions are found.