Accelerating model of flat universe in $f(R,T)$ gravity

TL;DR

This paper explores a flat universe model within $f(R,T)$ gravity, demonstrating its ability to describe late-time acceleration and transition from deceleration, with analysis consistent with observations.

Contribution

It introduces a flat universe model with a linearly varying deceleration parameter in $f(R,T)$ gravity, highlighting its observational consistency and energy-momentum conservation violation.

Findings

Model aligns with astrophysical data

Shows transition from deceleration to acceleration

Violates energy-momentum conservation law

Abstract

The $f(R,T)$ theory of gravitation is an extended theory of gravitation in which the gravitational action contains both the Ricci scalar $R$ and the trace of energy momentum tensor $T$ and hence the cosmological models based on $f(R,T)$ gravity are eligible to describing late time acceleration of present universe. In this paper, we investigate an accelerating model of flat universe with linearly varying deceleration parameter (LVDP). We apply the linearly time varying law for deceleration parameters that generates a model of transitioning universe from early decelerating phase to current accelerating phase. We carry out the state-finder and Om(z) analysis, and obtain that LVDP model have consistency with astrophysical observations. We also discuss profoundly the violation of energy-momentum conservation law in $f(R,T)$ gravity and dynamical behavior of the model.