Certain investigations of linear, fractional varying DP within the framework of f(R, T) gravity

Abstract

Abstract This communication aims to discuss the interplay between cosmic acceleration and deceleration in the context of the f(R, T ) theory, along with different forms of deceleration parameters. The study encompasses the evolution of the universe's expansion rate concerning cosmic time, denoted as t . We have also derived solutions for the Einstein field equations (EFE) within the context of this study. The significant implications of the f(R, T ) theory concerning cosmic acceleration and deceleration have been explored. Furthermore, we have presented pictorial representations of key cosmological parameters. Additionally, we have tabulated the values of all cosmographic parameters for Model-I and Model-II. In the end, a comprehensive analysis, along with a tabulated form of all important cosmological parameters under the studied cases along with the standard ΛCDM model-have been presented.