Curvature Coupling and Accelerated Expansion of the Universe

TL;DR

This paper introduces an exactly solvable relativistic kinetic model with stochastic interactions that demonstrates how certain self-interactions can lead to accelerated cosmic expansion.

Contribution

It presents a novel exactly solvable model of relativistic kinetic systems with stochastic self-interaction influencing universe expansion.

Findings

Model shows accelerated expansion with specific self-interaction forces

Inclusion of stochastic variables affects the dynamics of cosmic evolution

Provides a new framework for understanding relativistic kinetic interactions in cosmology

Abstract

A new exactly solvable model for the evolution of relativistic kinetic system interacting with an internal stochastic reservoir under the influence of a gravitational background expansion is established. This model of self-interaction is based on the relativistic kinetic equation for the distribution function defined in the extended phase space. The supplementary degree of freedom is described by the scalar stochastic variable (Langevin source), which is considered to be the constructive element of the effective one-particle force. The expansion of the Universe is shown to be accelerated for the suitable choice of the non-minimal self-interaction force.