Cyclic Universe with an Inflationary Phase from a Cosmological Model with Real Gas Quintessence

TL;DR

This paper demonstrates that a cosmological model with real gas quintessence can produce a cyclic universe with stable, inflationary phases, supported by phase-plane stability analysis.

Contribution

It introduces a novel cyclic universe model based on real gas quintessence and revisits the van der Waals quintessence model to confirm cyclic solutions.

Findings

Existence of stable periodic solutions with inflationary phases.

Revisiting van der Waals model confirms cyclic universe solutions.

Phase-plane analysis supports model stability.

Abstract

Phase-plane stability analysis of a dynamical system describing the Universe as a two-fraction fluid containing baryonic dust and real virial gas quintessence is presented. Existence of a stable periodic solution experiencing inflationary periods is shown. A van der Waals quintessence model is revisited and cyclic Universe solution again found.