Evolution of the universe with quintessence model in Rastall gravity

TL;DR

This paper explores the evolution of the universe using Rastall gravity with a quintessence model, constraining parameters with multiple cosmological datasets, and finds it can explain late-time acceleration similar to dark energy.

Contribution

It introduces a Rastall gravity-based quintessence model with a linear EoS parametrization and constrains it using diverse observational data, comparing it to the standard $\\Lambda$CDM model.

Findings

Model supports late-time acceleration of the universe.

Constraints on Rastall parameter $\\lambda$ consistent with observations.

Potential to explain dark energy phenomena.

Abstract

We investigate the universe's evolution within the framework of Rastall gravity, which is an extension of the standard $\Lambda$CDM model. Utilizing a linear parametrization of the Equation of State (EoS) in a Friedmann-Lema\^{\i}tre-Robertson-Walker (FLRW) background, we constrain the model parameters through analysis of cosmic chronometers (CC), Pantheon, Gold, Gamma Ray Burst (GRB), and Baryon Acoustic Oscillations (BAO) datasets, as well as their joint analysis, under $1\sigma$ and $2\sigma$ confidence levels, considering the Rastall parameter $\lambda$. The constrained parameters are then used to compare our model with the standard $\Lambda$CDM model. Our findings include a detailed examination of the model's physical interpretations and demonstrate the potential for an accelerating universe expansion in later times, aligning with the observed behavior of dark energy.