Acoustic black holes for relativistic fluids

TL;DR

This paper derives a new acoustic black hole metric from the Abelian Higgs model, explores its reduction to known metrics, and proposes using superconductors and classical fluids to realize experimental acoustic black holes.

Contribution

It introduces a novel relativistic acoustic black hole metric from the Abelian Higgs model and suggests practical implementations using superconductors and classical fluids.

Findings

Derived a new acoustic black hole metric from the Abelian Higgs model.

Showed the metric reduces to the Unruh type in the non-relativistic limit.

Proposed experimental realization using superconductors and vortex solutions in fluids.

Abstract

We derive a new acoustic black hole metric from the Abelian Higgs model. In the non-relativistic limit, while the Abelian Higgs model becomes the Ginzburg-Landau model, the metric reduces to an ordinary Unruh type. We investigate the possibility of using (type I and II) superconductors as the acoustic black holes. We propose to realize experimental acoustic black holes by using spiral vortices solutions from the Navier-stokes equation in the non-relativistic classical fluids.