Reexamining RHDE Models in FRW Universe with two IR cut-off with redshift parametrization

TL;DR

This paper critically reexamines the RHDE models within $f(R,T)$ gravity, highlighting inconsistencies in previous methods and showing the universe is in a decelerating phase contrary to earlier claims.

Contribution

It identifies flaws in prior analysis of RHDE models in $f(R,T)$ gravity and provides corrected insights into the universe's expansion behavior.

Findings

Previous methods are incompatible with conservation equations.

The universe is in a decelerating phase for $0 \\leq \beta \leq 1.5$.

Corrected analysis alters earlier conclusions about cosmic acceleration.

Abstract

In this paper, we have investigated that the gravitational field equations are not compatible with conservation equation in Dixit et al. \textcolor{blue}{[Dixit et al. Euro. Phys. J. Plus \textbf{135}, 831 (2020)]}. Therefore, the expression for equation of state parameter along with the dynamics of $\omega_{T}$ - $\omega_{T}^{\prime}$ plane does not reflect the actual behaviors of RHDE models in $f(R,T)$ gravity and thus the method and technique given in Dixit et al. \textcolor{blue}{[Dixit et al. Euro. Phys. J. Plus \textbf{135}, 831 (2020)]} represents a fractured way for analyzing RHDE models in $f(R,T)$. We also investigate that the derived Universe is in decelerating phase of expansion for $0 \leq \beta \leq 1.5$ which is contrary to the result obtained in above targeted paper.