# Non-minimally coupled gravity and vacuum stability

## TL;DR

This paper explores how non-minimal coupling to gravity affects vacuum decay, extending thin-wall solutions and analyzing the impact of a large cosmological constant on tunneling rates in different spacetime backgrounds.

## Contribution

It extends the thin-wall approximation to include non-minimal coupling and compares it with numerical results, also examining the effects of a large cosmological constant.

## Key findings

- Non-minimal coupling significantly alters vacuum decay properties.
- The influence of non-minimal coupling varies between Minkowski and deSitter backgrounds.
- Large cosmological constants can enhance tunneling rates.

## Abstract

We investigate the properties of vacuum decay taking into account a non-minimal coupling to gravity. We extend the standard thin-wall solution to include the non-minimal coupling and verify its validity by comparison with a full numerical study. We also investigate the implications of a~large cosmological constant whose influence on the geometry boosts the tunneling rate. Our analysis shows that the influence of the non-minimal coupling differs significantly between the cases of Minkowski and deSitter backgrounds.