The sound of quintessence: analogue Kiselev acoustic black holes

TL;DR

This paper develops a unified analytical framework for simulating Kiselev black hole geometries using acoustic analogs in laboratory settings, enabling experimental exploration of black hole phenomena.

Contribution

It introduces a general analytical solution for Kiselev acoustic black holes using Gross--Pitaevskii theory, including new geometries and their scalar perturbation spectra.

Findings

Derived the metric for Kiselev acoustic black holes.

Calculated quasinormal and quasibound spectra for scalar perturbations.

Proposed experimental setups for simulating black hole phenomena.

Abstract

In this work, we demonstrate that the geometry of a spherically symmetric black hole surrounded by a Kiselev anisotropic fluid can be effectively mimicked by an experimental setup as the ones used to investigate some physical phenomena associated with acoustic black holes. Thus, we construct the metric describing Kiselev acoustic black holes by using the Gross--Pitaevskii theory and present a general analytical solution that encompasses, as particular cases, several classes of geometries associated with black holes. This unified framework allows for the description of a wide variety of analogue spacetimes, including new analogue geometries that have not been previously explored in the literature. Then, we examine the behavior of scalar field perturbations in this background by solving the massless Klein--Gordon equation. Depending on the boundary conditions between the acoustic event horizon and infinity, we obtain the quasinormal and quasibound spectra. This study opens up avenues for experimental investigation within the context of analog gravity models, by offering new possibilities to simulate and study black hole phenomena in laboratory settings.