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Inherent nonlinearity of fluid motion and acoustic gravitational wave memory

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arxiv 2011.05837 v3 pith:4UAXFMYI submitted 2020-11-11 gr-qc cond-mat.quant-gas

Inherent nonlinearity of fluid motion and acoustic gravitational wave memory

classification gr-qc cond-mat.quant-gas
keywords acousticmemorywavefluidgravitationalnonlinearnonlinearityequations
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We consider the propagation of nonlinear sound waves in a perfect fluid at rest. By employing the Riemann wave equation of nonlinear acoustics in one spatial dimension, it is shown that waves carrying a constant density perturbation at their tails produce an acoustic analogue of gravitational wave memory. For the acoustic memory, which is in general $nonlinear$, the nonlinearity of the effective spacetime dynamics is not due to the Einstein equations, but due to the nonlinearity of the perfect fluid equations. For concreteness, we employ a box-trapped Bose-Einstein condensate, and suggest an experimental protocol to observe acoustic gravitational wave memory.

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Cited by 3 Pith papers

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