Quasinormal mode and stability of optical black holes in moving dielectrics

TL;DR

This paper investigates the quasinormal modes and stability conditions of optical black holes in moving dielectrics, revealing relationships between frequency components, refractive index, and stability phases.

Contribution

It introduces new conditions for horizon formation and analyzes the stability transition of optical black holes with varying refractive index.

Findings

Real part of frequencies inversely proportional to refractive index

Imaginary part proportional to refractive index

Optical black holes transition from unstable to stable modes at high refractive index

Abstract

We study the quasinormal mode and stability of optical black holes in moving dielectrics. The results show that the real part of complex frequencies is inversely proportional to but the absolute value of an imaginary part is proportional to a refractive index. We obtain the conditions for forming a black hole horizon in moving dielectrics. Moreover, we investigate the evolution behavior of optical black holes with respect to a refractive index at a high overtone number and find that an optical black hole undergoes one phase transition from an unstable mode to a stable one when the refractive index is big enough.