Nontrivial Dynamics in the Early Stages of Inflation

TL;DR

This paper explores complex dynamical phenomena in the early stages of inflationary cosmology, revealing how intricate effects like Arnol'd's diffusion influence the onset of inflation.

Contribution

It demonstrates that simple inflation models can exhibit nontrivial dynamical effects, impacting the conditions for inflation to occur.

Findings

Breakup of invariant tori during early inflation

Formation of cantori affecting inflation dynamics

Arnol'd's diffusion influences inflation onset

Abstract

Inflationary cosmologies, regarded as dynamical systems, have rather simple asymptotic behavior, insofar as the cosmic baldness principle holds. Nevertheless, in the early stages of an inflationary process, the dynamical behavior may be very complex. In this paper, we show how even a simple inflationary scenario, based on Linde's ``chaotic inflation'' proposal, manifests nontrivial dynamical effects such as the breakup of invariant tori, formation of cantori and Arnol'd's diffusion. The relevance of such effects is highlighted by the fact that even the occurrence or not of inflation in a given Universe is dependent upon them.