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arXiv:1203.6505gr-qc

The circular jump as a hydrodynamic white hole

Gil Jannes, Germain Rousseaux

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Abstract

Surface waves in classical fluids experience a rich array of black/white hole horizon effects. The dispersion relation depends on the characteristics of the fluid as well as on the fluid depth and the wavelength regime. We focus on the shallow-water regime, and discuss the experimental proof that the circular hydraulic jump marks the transition between a supercritical and a subcritical flow regime. This finally confirms a theoretical conjecture formulated by Lord Rayleigh nearly 100 years ago. It also confirms that the circular jump corresponds to the spontaneous formation of a hydrodynamic white hole, with interesting characteristics from the point of view of analogue gravity. We study the dispersive regime, mention some lessons about the trans-Planckian issue and describe possible directions for future work.

arXiv comments
16 pages, 7 figures. To appear in: "Analogue Models of Gravity 30 Years Celebration" (Proceedings of the II Amazonian Symposium on Physics)
Journal reference
DOI
Subjects
gr-qcGeneral Relativity and Quantum Cosmology physics.flu-dynFluid Dynamics

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  1. A Magnetic Wormhole (2015) 1 comment
    • The paper says it is a > a tunnel for magnetic fields acting as if was outside the usual 3D space. I didn't understand what they meant by "acting as if it was outside the usual 3D space". If I did understand it then, fair enough, I'd accept the thing as a magnetic analogue of a…

      adrianratnapalaView on HNParent context

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