Acoustic black holes from Abelian Higgs model with Lorentz symmetry breaking

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.

Aspects of a planar nonbirefringent andCPT-even electrodynamics stemming from the standard model extension

“…The Lorentz-violating symmetric tensor κ νρ presents six independent coefficients, which modify both the electromagnetic and scalar sectors, altering the dynamics of the Maxwell field and yielding a noncanonical kinetic term for the scalar field. The LIV noncanonical kinetic term present in the scalar sector has been recently investigated in scenarios involving topological defects in (1+1) dimensions [30] and acoustic black holes with Lorentz-violation [31] in (1+2) dimensions. A similar term is also found in the Lagrangian of Ref.…”

Acoustic black holes: massless scalar field analytic solutions and analogue Hawking radiation

“…Ramón et al [55] presented the analogue Hawking radiation derivation from the canonical acoustic black hole using the anomaly and tunneling mechanism approaches. Zhang et al [56] studied Hawking radiation from a rotating acoustic black hole using the analytical continuation method [57].…”

Aharonov–Bohm effect for a fermion field in a planar black hole “spacetime”

“…1, 2 (right panel) show, this indeed agrees with the increasing of the differential cross section as the frequency increases. This precisely happens as long as the frequency belongs the interval 0 < ω < m H , where m is the azimuthal mode number and H is the angular velocity of the black hole [36,37,[66][67][68]. On the other hand, for large angles, both particles tend to be scattered outside the ergoregion and in turn they almost keep the scattering constant as Figs.…”

“…In addition, the study of a relativistic version of acoustic black holes was presented in [31][32][33][34]. Furthermore, the acoustic black hole metrics obtained from a relativistic fluid in a noncommutative spacetime [35] and Lorentz-violating Abelian Higgs model [36,37] have been considered. The thermodynamics of acoustic black holes in two dimensions was studied in [38].…”