Instability of nonminimally coupled scalar fields in the spacetime of slowly rotating compact objects

TL;DR

This paper investigates how slow rotation of compact objects influences the instability of nonminimally coupled scalar fields, particularly focusing on the vacuum awakening effect and stability conditions.

Contribution

It extends previous stability analyses by examining the impact of slow rotation on scalar field instabilities around compact objects.

Findings

Rotation modifies the parameter space for instability.

Slow rotation can either suppress or enhance the vacuum awakening effect.

Results provide insights into scalar field behavior in astrophysical environments.

Abstract

Nonminimally coupled free scalar fields may be unstable in the spacetime of compact objects. Such instability can be triggered by classical seeds or, more simply, by quantum fluctuations giving rise to the so-called {\em vacuum awakening effect}. Here, we investigate how the parameter space which characterizes the instability is affected when the object gains some rotation. For this purpose, we focus on the stability analysis of nonminimally coupled scalar fields in the spacetime of slowly spinning matter shells.