Universe with Power Law Expansion

This paper presents Inflationary scenarios in \(f(R, T)\) gravity using power law, with scalar curvature \(R\) and energy momentum tensor trace \(T\) . Power law expansion of scale factor is used to determine precise solutions to field equations (FE) of Bianchi type-I (BT-I) model. Expansion rate of universe changes with time, fluctuating between an infinite pace at starting and a fixed rate at later epochs. The current model’s energy conditions have been established, and the results show that it is consistent with the data. The strong energy condition (SEC) is failed which implies the accelerated phase of the universe. The model’s geometrical and the physical behaviours have been discussed.