Dynamics and cosmological evolution in {\Lambda}-varying cosmology

TL;DR

This paper analyzes various varying vacuum cosmological models with dark matter interaction, identifying stable solutions that can describe different cosmic eras such as de-Sitter, radiation, and matter domination.

Contribution

It provides a comprehensive critical point analysis of varying vacuum models, highlighting their potential to accurately represent the universe's evolution.

Findings

Several models admit stable critical points.

Stable solutions describe key cosmic eras.

Models can be used to explain cosmic history.

Abstract

We study the dynamical properties of a large body of varying vacuum cosmologies for which dark matter interacts with vacuum. In particular, performing the critical point analysis we investigate the existence and the stability of cosmological solutions which describe de-Sitter, radiation and matter dominated eras. We find several cases of varying vacuum models that admit stable critical points, hence they can be used in describing the cosmic history.