Study of Entropy Corrected Cosmic Scalar Field Inflation

Abstract

In this thesis, inflationary phase of the universe in the framework of generalized Chaplygin gas is studied. We consider modified cosmological scenarios based on two entropy corrections known as Tsallis and Barrow entropy which lead to the modification of Friedmann equations. Using these correction and modified equations, we discuss the slow roll parame ters, number of e-folds, curvature perturbation, tensor to scalar ratio and spectral index. To analyze the effects of these entropy corrections on infla tionary dynamics, we plot the graphs of tensor to scalar ratio and spectral index for two different scalar potentials. We observe the variations in the values of these inflationary parameters with respect to Tsallis and Barrow parameters. The graphical analysis demonstrates the compatibility of our models with the Planck data from 2020. Moreover, in view of these correc tions to entropy, we also find out the bounds of swampland conjecture for generalized Chaplygin gas. In all the cases, this bound remains less than one which is according to observational data