Evolution of Universe as a Homogeneous System : Changes of Scale Factors with Different Dark Energy EoS-s

TL;DR

This paper investigates how different dark energy models influence the universe's expansion by analyzing the relationship between time and scale factor, highlighting potential future singularities.

Contribution

It provides a comparative analysis of various dark energy equations of state and their effects on the universe's evolution and singularities.

Findings

Different dark energy models produce distinct t vs a(t) behaviors.

Certain models predict future singularities in the universe's evolution.

Parameter variations significantly affect the expansion dynamics.

Abstract

We analyse the universe homogeneously filled up by different dark energies. We calculate the relations between time and the scale factor. We thoroughly check the differences to be obtained with the changes of different parameters. $t$ vs $a(t)$ curves are studied. Physical differences between several dark energy models are studied. We conclude about the future singularities to be occurred.