A Model of the Universe including dark Energy

TL;DR

This paper presents a cosmological model incorporating dark energy through a dynamical quintessence field and a cosmological constant, demonstrating the possibility of a collapsing universe and matching supernovae distance measurements.

Contribution

It introduces a novel universe model combining quintessence and cosmological constant, exploring collapse scenarios and aligning with supernovae data.

Findings

Collapse of universe possible under certain parameters

Model reproduces supernovae distance measurements accurately

Supports theoretical frameworks requiring universe collapse

Abstract

In this work we explore a model of the universe in which dark energy is modelled explicitely with both a dynamical quintessence field (with a double exponential self-interaction potential) and a cosmological constant. For a given region of the parameter space, our results confirm the possibility of a collapsing universe, which is necessary for an adequate definition of both perturbative quantum field and string theories. We have also reproduced the measurements of modulus distance from supernovae with good accuracy.