Absorption and quasinormal modes by rotating acoustic black holes in Lorentz-violating background

TL;DR

This paper studies how Lorentz symmetry violation affects the absorption cross section and quasinormal modes of rotating acoustic black holes, revealing increased absorption and faster damping due to symmetry breaking.

Contribution

It provides analytical and numerical analysis of Lorentz violation effects on acoustic black hole properties, highlighting new impacts of symmetry breaking on absorption and damping.

Findings

Lorentz violation increases absorption cross section across all energies.

Symmetry breaking decreases real parts of quasinormal mode frequencies.

It causes an increase in the magnitude of imaginary parts, indicating faster damping.

Abstract

In this work, we investigate the effects of Lorentz symmetry violation on the absorption cross section and quasinormal modes of a rotating acoustic black hole in (2+1) dimensions. The absorption cross section was analyzed analytically, using the low and high frequency regimes, and numerically, through integration of the radial equation. The results showed that Lorentz violation increases the absorption cross section at all energy scales, with a contribution from the rotation parameter $B$ appearing even in the low frequency regime. For the quasinormal modes, we observed that symmetry breaking decreases the real part of the frequencies and increases the magnitude of the corresponding imaginary part, indicating a faster damping of the oscillations.