Approach to exact inflation in modified Friedmann equation

TL;DR

This paper investigates inflationary universe models with a scalar field, focusing on their dynamics, perturbations, and gravitational waves, particularly in Friedmann-Chern-Simons and brane-world scenarios.

Contribution

It introduces a unified approach to analyze inflation in modified Friedmann equations, including detailed perturbation and gravitational wave analysis for specific models.

Findings

Scalar density perturbations characterized in the models

Relic gravitational waves analyzed in the context of modified equations

Application to Friedmann-Chern-Simons and brane-world models

Abstract

We study inflationary universe models that are characterized by a single scalar inflaton field. The study of these models are based on two dynamical equations; one corresponding to the Klein-Gordon equation for the inflaton field, and the other, to a generalized Friedmann equation. After describing the kinematics and dynamics of the models, we determine in some detail scalar density perturbations and relic gravitational waves. We apply this approach to the Friedmann-Chern-Simons and the brane-world inflationary models.