Averaging of the Equations of the Standard Cosmological Model over Rapid Oscillations: Influence of the cosmological term on the mean value of the effective barotropic coefficient

TL;DR

This paper investigates how averaging the equations of the standard cosmological model over rapid oscillations reveals the influence of the cosmological term on the universe's evolution, showing transitions between inflationary and nonrelativistic stages.

Contribution

It introduces a software-based averaging method to analyze the effect of the cosmological constant on the effective barotropic coefficient in cosmological models.

Findings

Universe transitions from inflationary to nonrelativistic stage

Large cosmological constant causes multiple stage transitions

Averaging reveals oscillation effects on cosmic evolution

Abstract

With the help of an applied software package written by the authors, we have averaged the effective total barotropic coefficient $\kappa=(-\lambda + p)/(\lambda+\epsilon$) of the classical scalar field and the cosmological term and have shown that during cosmological evolution for sufficiently large values of the cosmological constant the Universe transitions from the inflationary stage to a nonrelativistic stage, and then, after a plateau, it transitions to a later inflationary stage.