Effects of Well-Known Potentials on Cosmic Inflation in f(T) Gravity

Abstract

In this thesis, we investigate a canonical scalar fleld inflationary scenario by considering an exponential model in the context of f(T) theory. We take some well-known potentials as general hilltop inflation potential (GHI), valley hybrid inflation potential (VHI), shaft potential and minimal inflation potential to evaluate some inflationary parameters. We evaluate number of e-folds N, the slow-roll parameter †1, ratio of tensor-scalar r, scalarspectral index (ns) and its running fi. For a comparison of our results with Planck data, we draw ns - r and ns - fis planes for the difierent well known potentials. Our outcomes for three potentials depict a consist and compatible inflationary scenario with the recent observational data (Planck data 2018).