On the Occurrence of Finite-time Singularities in Swampland-related Quintessence Dark Energy Models

TL;DR

This paper investigates the potential for finite-time singularities in swampland-related quintessence dark energy models, showing that matter fluids influence the conditions under which singularities occur, making them initial-condition dependent.

Contribution

It applies the dominant balances technique to analyze singularities in the dynamical system of swampland quintessence models with matter fluids, revealing the impact of matter on singularity conditions.

Findings

Finite-time singularities may occur in the model.

Presence of matter fluids makes singularities initial-condition dependent.

Singularities are not general when matter is included.

Abstract

In this work we focus on the phase space singularities of interactive quintessence model in the presence of matter fluid. This model is related to swampland studies, that the outcomes affect all these Swampland related models with the same dynamical system. We shall form the dynamical system corresponding to the cosmological system, which is eventually autonomous, and by using the dominant balances technique we shall investigate the occurrence or not of finite-time singularities. Our results indicate that the dynamical system of the model may develop finite-time singularities, but these are not general singularities, like in the case that the matter fluids were absent, in which case singularities occurred for general initial conditions. Hence, the presence of matter fluids affects the dynamical system of the cosmological system, making the singularities to depend on the initial conditions, instead of occurring for general initial conditions.