Acoustic Black Holes from Abelian Higgs Model with Lorentz Symmetry Breaking

TL;DR

This paper derives acoustic black hole metrics within the Abelian Higgs model incorporating Lorentz symmetry breaking, revealing effects like birefringence, modified Hawking temperatures, and scattering properties influenced by Lorentz violation.

Contribution

It introduces novel acoustic black hole solutions in the Abelian Higgs model with Lorentz symmetry breaking, highlighting how Lorentz violation affects black hole properties and wave scattering.

Findings

Acoustic black holes exhibit Lorentz-violating birefringence.

Hawking temperatures depend on Lorentz violating parameters.

Wave scattering amplitudes increase for certain Lorentz violation values.

Abstract

In this paper we derive acoustic black hole metrics in the (3+1) and (2+1)-dimensional Abelian Higgs model with Lorentz symmetry breaking. In this set up the sound waves lose the Lorentz boost invariance and suffer a 'birefringence' effect. We have found acoustic black holes and respective Hawking temperatures depending on the Lorentz violating parameter. Furthermore, we obtain an acoustic Kerr-like black hole metric with the Lorentz violating term affecting its rate of loss of mass. We also have shown that for suitable values of the Lorentz violating parameter a wider spectrum of particle wave function can be scattered with increased amplitude by the acoustic black hole.