Holographic Inflation in Modified Theories of Gravity

Abstract

In this thesis, we investigate the holographic inflation in the framework of two gravitational theories like f(T) gravity where T corresponds to the torsion scalar and DGP braneworld model which is based on the idea that our four dimensional FRW universe located on five dimensional manifold. TheGranda-Oliveros cutoff is used to explore all the inflationary parameters as slow roll parameters ( 1, 2, 3), number of e−folds N, scalar spectral index ns, tensor-to-scalar ratio r and running of the scalar spectral index αs. Also, we investigate the behavior of inflationary parameters ns−N, αs− N, r−N, αs−ns and r−ns through graphical presentation. The behavior of these parameters show the consistency with Planck data 2018.