Inherent nonlinearity of fluid motion and acoustic gravitational wave memory

Abstract

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.

10 pages, 3 figures; as published in Physical Review D

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Cited by in corpus (4)

• Supersolid-like square- and triangular-lattice crystallization of dipolar droplets in a box trap
• Gravitational wave analogues in spin nematics and cold atoms
• Analogue gravitational field from nonlinear fluid dynamics
• Dispersive censor of acoustic spacetimes with a shock-wave singularity