Inflation with oscillations

Abstract

In this paper we investigate the general features of ”Oscillatory Inflation”. In adiabatic approxi- mation , we derive a general formula for the number of e-foldings ˜ N which reduces to the standard expression in case of the slow role approximation and leads to the Damour-Mukhanov type expres- sion for the slowly varying adiabatic index. We apply our result to the logarithmic potential and arrive at a simple and elegant formula for the number of e-foldings.We evolve the field equations numerically and observe a remarkable agreement with the analytical result.