Inherent nonlinearity of fluid motion and acoustic gravitational wave memory
arXiv:2011.05837 · doi:10.1103/PhysRevD.105.022003
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 , 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.
arXiv comment10 pages, 3 figures; as published in Physical Review D
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