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ЖУРНАЛЫ // Письма в Журнал экспериментальной и теоретической физики // Архив

Письма в ЖЭТФ, 2005, том 82, выпуск 10, страницы 706–709 (Mi jetpl1618)

Эта публикация цитируется в 31 статьях

ГРАВИТАЦИЯ, АСТРОФИЗИКА

The hydraulic jump as a white hole

G. E. Volovikab

a L. D. Landau Institute for Theoretical Physics, 117334 Moscow, Russia
b Low Temperature Laboratory, Helsinki University of Technology, FIN-02015 HUT, Finland

Аннотация: 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 propagate into the interior region. In terms of the effective $2+1$ dimensional Painlevé–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 $^4$He by Rolley, Guthmann, Pettersen and Chevallier are discussed.

PACS: 04.70.-s, 67.40.Hf

Поступила в редакцию: 24.10.2005

Язык публикации: английский


 Англоязычная версия: Journal of Experimental and Theoretical Physics Letters, 2005, 82:10, 624–627

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