Quasinormal Modes and Late-Time Tails of Canonical Acoustic Black Holes

TL;DR

This paper studies wave behavior in canonical acoustic black holes, analyzing quasinormal modes and late-time tails through numerical methods, revealing how oscillation frequencies, damping, and tail transition times depend on angular momentum.

Contribution

It provides a detailed numerical analysis of wave evolution and tail phenomena in canonical acoustic black holes, highlighting the dependence on angular momentum and the reliability of WKB approximation.

Findings

Oscillation frequency and damping time increase with angular momentum.

Lowest WKB approximation is most reliable for lower angular momentum.

Transition time from ringing to tail is unaffected by angular momentum.

Abstract

In this paper, we investigate the evolution of classical wave propagation in the canonical acoustic black hole by numerical method and discuss the details of tail phenomenon. The oscillating frequency and damping time scale both increase with the angular momentum $l$. For the lower $l$, numerical results show the lowest WKB approximation gives the most reliable result. We also find that time scale of the interim region from ringing to tail is not affected obviously by changing $l$.