Dynamics of Quintessence in Generalized Uncertainty Principle

TL;DR

This paper explores how the Generalized Uncertainty Principle modifies quintessence scalar field models, revealing new critical points and showing that different potentials behave similarly in this framework, which is a novel cosmological insight.

Contribution

It introduces a modified quintessence model incorporating the GUP, discovering new critical points for exponential potentials and showing potential independence in the model's behavior.

Findings

New critical points for exponential potential describe de Sitter universe

Critical points' properties are unchanged across different potentials in the modified model

Potential independence in the behavior of critical points is a novel cosmological result

Abstract

We investigate the quintessence scalar field model modified by the Generalized Uncertainty Principle in the background of a spatially flat homogeneous and isotropic universe. By performing a dynamical system analysis we examine the nature of the critical points and their stability for two potentials, one is the exponential potential and the other is a general potential. In the case of an exponential potential, we find some new critical points for this modified quintessence scenario that describe the de Sitter universe, and these critical points do not appear in the standard quintessence model with an exponential potential. This is one of the main results of this work. Now for the general potential our analysis shows that the physical properties of the critical points remain exactly the same as for the exponential potential which means that within this modified quintessence scenario all kind of potentials have same behaviour. This kind of result is completely new in cosmology because with the change of the potential, differences are usually expected in all respect.