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Inertial Frame Dragging in an Acoustic Analogue Spacetime
Authors:Chandrachur Chakraborty  Oindrila Ganguly  Parthasarathi Majumdar
Affiliation:1. Tata Institute of Fundamental Research, Mumbai, India;2. Kavli Institute for Astronomy and Astrophysics, Peking University, Beijing, China;3. Institute of Physics, Bhubaneswar, India;4. Ramakrishna Mission Vivekananda University, Belur Math, India
Abstract:We report an incipient exploration of the Lense‐Thirring precession effect in a rotating 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.
Keywords:analogue black hole  Lense—  Thirring precession
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