The dynamics of universe for exponential decaying dark energy

TL;DR

This paper investigates the universe's dynamics with an exponential decaying dark energy model, analyzing physical quantities in ideal fluid and scalar-tensor frameworks, showing their mathematical equivalence.

Contribution

It introduces an exponential decaying dark energy model and compares ideal fluid and scalar-tensor descriptions, demonstrating their equivalence in this context.

Findings

Time-dependent behavior of energy density and pressure derived.

Equivalence between ideal fluid and scalar-tensor descriptions established.

Results applicable to both coupled and non-coupled dark energy scenarios.

Abstract

In this study we consider an exponential decaying form for dark energy as EoS parameter in order to discuss the dynamics of the universe. Firstly, assuming that universe is filled with an ideal fluid which consists of exponential decaying dark energy we obtain time dependent behavior of several physical quantities such as energy density, pressure and others for dark energy, dark energy-matter coupling and non-coupling cases. Secondly, using scalar field instead of an ideal fluid we obtain these physical quantities in terms of scalar potential and kinetic term for the same cases in scalar-tensor formalism. Finally we show that ideal fluid and scalar-tensor description of dark energy give mathematically equivalent results for this EoS parameter.