Is Non-minimal Inflation Eternal?

TL;DR

This paper investigates whether non-minimal coupling inflation can be eternal by analyzing quantum fluctuations and applying the results to specific models, finding that eternal inflation is possible under certain conditions.

Contribution

It provides a detailed analysis of quantum fluctuations in non-minimal inflation and demonstrates conditions under which such inflation can be eternal.

Findings

Quantum fluctuation magnitude matches minimal case in slow-roll limit.

Certain parameter regions allow non-minimal inflation to be eternal.

Analysis applies to chaotic and natural inflation models.

Abstract

The possibility that the non-minimal coupling inflation could be eternal is investigated. We calculate the quantum fluctuation of the inflaton in a Hubble time and find that it has the same value as in the minimal case in the slow-roll limit. Armed with this result, we have studied some concrete non-minimal inflationary models including the chaotic inflation and the natural inflation while the inflaton is non-minimally coupled to the gravity and we find that these non-minimal inflations could be eternal in some parameter regions.