Exploration of Parameters in f(R,T) Gravity and Comparison with Various Datasets

The expansion of the Universe in $f(R,T)$ gravity is studied, where the function is of the form $f(R,T)= R+\lambda T^\epsilon$. For $\epsilon<0$, it is shown that the Universe transitions to exponential growth at late times, just as it does in the standard cosmological model. The resulting predictions are then compared with observations of type Ia supernovae, cosmic chronometers, baryonic acoustic oscillations, and cosmic microwave background radiation datasets. Best fits parameters are found and compared with the standard cosmological model $\Lambda$CDM.