Analog model for the BTZ black hole

TL;DR

This paper develops a hydrodynamical analog model for the BTZ black hole, demonstrating the excitation and decay of quasinormal modes through numerical simulations of fluid perturbations, including black hole formation scenarios.

Contribution

It introduces a novel hydrodynamical analog model for the BTZ black hole and numerically studies its quasinormal modes and formation process.

Findings

Observation of quasinormal mode excitation and decay

Numerical simulation of black hole formation in fluid

Validation of the analog model through nonlinear hydrodynamics

Abstract

We present an analog model for the Ba\~nados, Teitelboim, Zanelli (BTZ) black hole based on a hydrodynamical flow. We numerically solve the fully nonlinear hydrodynamic equations of motion and observe the excitation and decay of the analog BTZ quasinormal modes in the process. We consider both a small perturbation in the steady state configuration of the fluid and a large perturbation; the latter could be regarded as an example of formation of the analog (acoustic) BTZ black hole.