Some characteristics of three exact solutions of Einstein equations minimally coupled to a Quintessence field

TL;DR

This paper analyzes three exact solutions to Einstein's equations coupled with a Quintessence field, highlighting various inflationary behaviors and singularity avoidance in certain cases.

Contribution

It presents new exact solutions demonstrating diverse inflationary scenarios and conditions for singularity avoidance in Einstein-Quintessence models.

Findings

Existence of eternal and transitory inflation in the solutions

Singularity avoidance in specific cases

Characterization of inflationary processes in Einstein-Quintessence systems

Abstract

We show some characteristics of three exact solutions to the Einstein's gravity minimally coupled to a Quintessence field. Besides eternal inflation, several other interesting inflationary processes, such as transitory inflation, are attained in these solutions. Singularity is avoided in some special cases.