Slow-roll inflation in modified gravity* *PKS acknowledges the Science and Engineering Research Board, Department of Science and Technology, Government of India for financial support to carry out research project No.: CRG/2022/001847 and IUCAA

Abstract

In this study, we explore the concept of cosmological inflation within the framework of the theory of gravity, where f is a general function of the torsion scalar T and the trace of the energy-momentum tensor. It is assumed that the conditions of slow-roll inflation are applicable in gravity. To determine different observables related to inflation, such as the tensor-to-scalar ratio r, scalar spectral index , spectral index , and tensor spectral index , the Hubble slow-roll parameters are utilized for a particular model of . Lastly, an assessment is carried out to determine the feasibility of the models by conducting a numerical analysis of the parameters. The findings indicate that it is feasible to achieve compatibility with the observational measurements of slow-roll parameters by utilizing different values of the free parameters.