Acoustic black holes from Abelian Higgs model with Lorentz symmetry breaking

M.A Anacleto,F.A Brito,E Passos

doi:10.1016/j.physletb.2010.09.045

M.A Anacleto, F.A Brito + Show 1 more

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https://doi.org/10.1016/j.physletb.2010.09.045

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Journal: Physics Letters B	Publication Date: Sep 23, 2010
Citations: 47	License type: cc-by

Affiliation: Universidade Federal de Campina Grande

Abstract

In this Letter 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.

Highlights

Acoustic black holes possess many of the fundamental properties of the black holes of general relativity and have been extensively studied in the literature [1,2,3,4,5,6]
In 1974, Hawking combining Einstein’s General Relativity and Quantum Mechanics announced that classically a black hole does not radiate, but when we consider quantum effects emits thermal radiation at a temperature proportional to the horizon surface gravity
We 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

Summary

INTRODUCTION

Acoustic black holes possess many of the fundamental properties of the black holes of general relativity and have been extensively studied in the literature [1,2,3,4,5,6]. The purpose of this paper is considering the idea of the Lorentz symmetry breaking theories suggested in the seminal paper in Superstring Theory [16] and further developed in Quantum Field Theory and General Relativity [17,18,19,20] to investigate the relativistic version of acoustic black holes from the Abelian Higgs model [5] with Lorentz symmetry breaking. We derive acoustic black hole metrics in the (3+1) and (2+1)-dimensional Abelian Higgs model with Lorentz symmetry breaking. The effects of this set up is such that the fluctuations of the fluids are affected.

THE LORENTZ-VIOLATING MODEL

THE DISPERSION RELATION

LORENTZ VIOLATING CANONICAL ACOUSTIC BLACK HOLE

CONCLUSIONS