Cosmography parameters in inflationary scenario and their interrelation with slow-roll parameters

Abstract

This work investigates the inflationary era with slow-roll approximation in the perspective of cosmography parameters. The slow-roll parameters are determined in terms of cosmography parameters and then the cosmography parameters are constrained by the slow-roll approximations. The three important parameters in inflationary scenario, namely the spectral index, tensor to scalar ratio and number of e-foldings, are also expressed in terms of cosmography parameters. Finally, all relevant parameters are analyzed graphically for a known inflationary solution.