Chaotic exit to inflation: pre-inflationary Friedmann-Robertson-Walker universes

TL;DR

This paper demonstrates that certain homogeneous and isotropic cosmological models with radiation and scalar fields can exhibit chaotic transitions to inflation, influenced by saddle-center points in their phase space.

Contribution

It reveals the existence of one or two saddle-center points in the phase space that lead to chaotic exits to inflation in pre-inflationary models.

Findings

Models can have two possible chaotic exits to inflation.

Saddle-center points play a crucial role in the transition dynamics.

These models may describe early inflationary stages.

Abstract

We show that homogeneous and isotropic cosmological models with radiation and scalar field have, in general, two possible chaotic exits to inflation. These models may describe the early stages of inflation. The central point of our analysis is based on the possible existence of one or two saddle-centers points in the phase space of the models.