Constraining the f(R,T)=R+2λT cosmological model using recent observational data

In this study,we conduct a comprehensive investigation of the cosmological model described by f(R,T)=R+2λT(whereλrepresents a free parameter)in light of the most recent observational data.By constraining the model using the Hubble and Pantheon datasets,we determine its compatibility with the observed behavior of the Universe.For this purpose,we adopt a parametric form for the effective equation of state(EoS)parameter.This parametric form allows us to describe the evolution of the EoS parameter with respect to redshift and investigate its behavior during different cosmic epochs.The analysis of the deceleration parameter reveals an accelerating Universe with a present value of q0=−0.64_(−0.03)^(+0.03),indicating the current phase of accelerated expansion.The transition redshift is found to be ztr=0.53_(−0.03)^(+0.04),marking the epoch of transition from deceleration to acceleration.We also analyze the evolution of important cosmological parameters,including the density parameter,pressure,effective EoS,and stability.These findings collectively demonstrate the viability of the f(R,T)cosmological model as a robust candidate capable of engendering the requisite negative pressure,thereby efficiently propelling cosmic expansion.Moreover,the undertaken stability analysis underscores the model's stability within the broader cosmic landscape.By providing the best-fit values for the coupling parameterλ,this approach motivates and encourages further exploration into the extensive landscape of this model and its potential applications across diverse realms of cosmology and astronomy.