Massive Scalar Perturbations and Quasi-Resonance of Rotating Black Hole in Analog Gravity

TL;DR

This paper explores massive scalar perturbations and quasi-resonance phenomena in an analog rotating black hole model using photon-fluids, analyzing quasinormal modes with numerical methods to facilitate laboratory studies of black hole physics.

Contribution

It extends previous work on massless QNMs by analyzing massive scalar field perturbations and investigates the existence of quasi-resonance in an analog gravity setup.

Findings

Fundamental QNMs are calculated using Continued Fraction and WKB methods.

Quasi-resonance may exist in the analog gravity model, indicating slow damping.

Quasi-resonance's longevity offers better prospects for laboratory observation.

Abstract

It was reported that the optical field fluctuations in self-defocusing media can be described by sound waves propagating in a two-dimensional photon-fluid which is controlled by the driving laser beam. The photon-fluid can be regarded as the background where the sound waves propagate in the way like a scalar field propagating in curved spacetime, thus providing a platform to study physics in analog gravity. In this analog gravity model, to be more specific, in the analog rotating black hole background, we study the quasinormal modes (QNMs) of massive scalar field perturbations, as a natural extension of the recent work on the massless QNMs in photon-fluid. We analyze the properties of the spectrum of fundamental QNMs which are calculated by Continued Fraction Method and WKB approximation method. We also investigate the quasi-resonance and find that it may exist in this analog gravity model. The existence of quasi-resonance is important to study the QNMs in analog gravity apparatus due to its slow damping rate and longevity which give us better opportunity to probe and study it in laboratory.