The hydraulic jump as a white hole

Details The hydraulic jump as a white hole The hydraulic jump as a white hole

2005-08-30

arxiv.org/abs/physics/0508215v4

JETP Lett. 82 (2005) 624-627; Pisma Zh.Eksp.Teor.Fiz. 82 (2005) 706-709

Physics

Fluid Dynamics

10 pages, no figures, references added, version submitted to JETP Letters

Scientific paper

10.1134/1.2166908

In the geometry of the circular hydraulic jump, the velocity of the liquid in the interior region exceeds the speed of capillary-gravity waves (ripplons), whose spectrum is `relativistic' in the shallow water limit. The velocity flow is radial and outward, and thus the relativistic ripplons cannot propagating into the interior region. In terms of the effective 2+1 dimensional Painleve-Gullstrand metric appropriate for the propagating ripplons, the interior region imitates the white hole. The hydraulic jump represents the physical singularity at the white-hole horizon. The instability of the vacuum in the ergoregion inside the circular hydraulic jump and its observation in recent experiments on superfluid 4He by E. Rolley, C. Guthmann, M.S. Pettersen and C. Chevallier in physics/0508200 are discussed.

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