Massive quasi-normal mode

TL;DR

This paper investigates how the frequencies of quasi-normal modes caused by massive scalar fields depend on the field mass, revealing conditions for long-lived modes and their disappearance at certain mass thresholds.

Contribution

It introduces a detailed analysis of the dependence of QNM frequencies on scalar field mass, highlighting the existence of long-lived modes and their critical mass values.

Findings

Existence of quasi-normal modes with arbitrarily long life at specific field masses.

Disappearance of QNMs when the field mass exceeds certain critical values.

Identification of special mass values where QNM behavior changes.

Abstract

This paper purposes to study quasi-normal modes due to massive scalar fields. We, in particular, investigate the dependence of QNM frequencies on the field mass. By this research, we find that there are quasi-normal modes with arbitrarily long life when the field mass has special values. It is also found that QNM can disappear when the field mass exceed these values.