Dynamics of a parametrized dark energy model in $f(R,T)$ gravity

TL;DR

This paper explores a specific $f(R,T)$ gravity model that describes the universe's accelerated expansion, starting from a singularity and evolving to a late-time $ ext{Lambda}$CDM-like phase, including a big rip scenario.

Contribution

It introduces a parametrized $f(R,T)$ gravity model with a novel scale factor behavior that captures early singularity, current acceleration, and late-time $ ext{Lambda}$CDM-like evolution.

Findings

Model exhibits accelerated expansion consistent with observations.

Predicts a big rip end state of the universe.

Aligns with standard cosmology at late times.

Abstract

We investigate a flat FLRW-model in $f(R,T)$-gravity, which includes the quadratic variation in scalar curvature $R$ and the linear term of the trace of the stress-energy tensor $T$. In turn, we establish the model has the behaviour of the late time Universe, which is accelerated expanding and ends up in a big rip. Using the parametrization of scale factor $a(t)$, we propose a model, which begins with point-type singularity, i.e., the model starts with a point of zero volume, infinite energy density and infinite temperature. The model's behaviour is accelerated expanding at present and $\Lambda$CDM in late times. Finally, the proposed model behaves like a quintessence dark energy model in the present time and is consistent with standard cosmology $\Lambda$CDM in late times.