The constrained accelerating universe in f(R,T) gravity

In this paper, we study an alternative phenomenological model in $f(R,T)$ gravity, where $R$ indicates Ricci scalar curvature and $T$ is the trace of the stress–energy–momentum tensor consisting of a modification in General Relativity, to explain the dynamics of a dark energy model at cosmological scales employed in a flat universe. Our basic concept is to create a model to analyze the behavior of the Universe right from early evolution up to its ultimate fate, which is an accelerated expansion in late times. Using the parametrization of the Hubble parameter $H$, we find a model, that begins with infinite energy density and infinite pressure and shows accelerating expansion in late times. We concentrate on contrasting this model with the most recent cosmological observations of the Hubble parameter (77 data points) and Pantheon measurements (1048 data points). Our joint analysis yields the present values of the free model parameter $0.776_{-0.014}^{+0.014}$ and Hubble parameter $71.30_{-0.25}^{+0.66}$ for a flat universe. Finally, we conclude that our model behaves like a quintessence dark energy model in late times and is in good agreement with the recent observations.