Cosmological inflation

TL;DR

This paper reviews the fundamental concepts of cosmological inflation, deriving key equations and explaining how inflationary perturbations relate to cosmic microwave background fluctuations.

Contribution

It provides a clear derivation of inflationary equations and connects perturbations to observable CMB temperature fluctuations.

Findings

Derivation of inflaton field equations

Introduction of slow-roll parameters

Connection between inflationary perturbations and CMB fluctuations

Abstract

The very basics of cosmological inflation are discussed. We derive the equations of motion for the inflaton field, introduce the slow-roll parameters, and present the computation of the inflationary perturbations and their connection to the temperature fluctuations of the cosmic microwave background.