Derives shadow width, redshift asymmetry, and flux observables for the Lorentz-violating draining-bathtub acoustic black hole, showing how each observable isolates different combinations of the rotation and violation parameters.
Scattering by a draining bathtub vortex
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abstract
We present an analysis of scattering by a fluid-mechanical `black hole analogue', known as the draining bathtub vortex: a two-dimensional flow which possesses both a sonic horizon and an ergoregion. We consider the scattering of a plane wave of fixed frequency impinging upon the vortex. At low frequency, we encounter a modified Aharonov-Bohm effect. At high frequencies, we observe regular `orbiting' oscillations in the scattering length, due to interference between contra-orbiting rays. We present approximate formulae for both effects, and a selection of numerical results obtained by summing partial-wave series. Finally, we examine interference patterns in the vicinity of the vortex, and highlight the prospects for experimental investigation.
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gr-qc 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Shadow, acoustic redshift, and transfer observables of Lorentz-violating rotating acoustic black holes
Derives shadow width, redshift asymmetry, and flux observables for the Lorentz-violating draining-bathtub acoustic black hole, showing how each observable isolates different combinations of the rotation and violation parameters.