EDSFD parametrization in f(R,T) gravity with linear curvature terms

This paper investigates the flat Friedmann-Lemaıˆtre-Robertson-Walker (FLRW) cosmological model using a suitable parameterization represented as a differential equation concerning the energy density of the scalar field, ρϕ, in the context of f(R,T) gravity theory. This parameterization is known as the Energy Density Scalar Field Differential Equation (EDSFD) parametrization. It results in a solution of the Hubble parameter containing four model parameters, namely, Ωm0,Ωϕ0,H0, and α. To constrain the model parameters, 77 data points from the Hubble dataset, 1048 points from the Pantheon dataset, and 6 data points from BAO are used. Using the constrained values, we analyze and compare our model with the standard ΛCDM model. The evolution of the physical parameters, which includes the deceleration parameter, density parameter, Equation of State (EoS) for Dark Energy, and Om(z) diagnostic, are discussed.