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.
