Intertial Frame Dragging in an Acoustic Analogue spacetime

Abstract

We report an incipient exploration of the Lense-Thirring precession effect in a rotating \textit{acoustic analogue black hole} spacetime. An exact formula is deduced for the precession frequency of a gyroscope due to inertial frame dragging, close to the ergosphere of a `Draining Bathtub' acoustic spacetime which has been studied extensively for acoustic Hawking radiation of phonons and also for `superresonance'. The formula is verified by embedding the two dimensional spatial (acoustic) geometry into a three dimensional one where the similarity with standard Lense-Thirring precession results within a strong gravity framework is well known. Prospects of experimental detection of this new `fixed-metric' effect in acoustic geometries, are briefly discussed.

LaTex; 6 pages including 1 figure; paper thoroughly revised, accepted for publication in Annalen der Physik

References in corpus (5)

• Gravity Probe B: Final Results of a Space Experiment to Test General Relativity
• Observation of quantum Hawking radiation and its entanglement in an analogue black hole
• Phenomenology of the Lense-Thirring effect in the Solar System
• Angular momentum in spin-phonon processes
• Dragging of inertial frames inside the rotating neutron stars

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• Spinning Gyroscope in an Acoustic Black Hole : Precession Effects and Observational Aspects
• Distinguishing Black Hole and Naked Singularity in MOG via Inertial Frame Dragging Effect
• Distinguishing Signature of Kerr-MOG Black Hole and Superspinar via Lense-Thirring Precession
• Spin precession in the gravity wave analogue black hole spacetime
• Towards an Acoustic Geometry in Slightly Viscous Fluids