Generalized slow-roll inflation

TL;DR

This paper investigates the conditions under which inflationary attractors exist in models with nonminimal coupling, extending the slow-roll approximation to more general scenarios.

Contribution

It demonstrates the existence of inflationary attractors in nonminimally coupled models, providing criteria based on the inflaton potential and coupling constant.

Findings

Existence of attractor points for nonminimal coupling models

Conditions on potential and coupling constant for inflationary attractors

Extension of slow-roll approximation to generalized scenarios

Abstract

The slow-roll approximation to inflation is ultimately justified by the presence of inflationary attractors for the orbits of the solutions of the dynamical equations in phase space. There are many indications that the inflaton field couples nonminimally to the spacetime curvature: the existence of attractor points for inflation with nonminimal coupling is demonstrated, subject to a condition on the inflaton potential and the value of the coupling constant.