The hydraulic jump as a white hole
arXiv:physics/0508215 · doi:10.1134/1.2166908
Abstract
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.
10 pages, no figures, references added, version submitted to JETP Letters
References in corpus (8)
- Gravity wave analogs of black holes
- Black hole lasers
- Shear flow and Kelvin-Helmholtz instability in superfluids
- Hawking radiation in an electro-magnetic wave-guide?
- On Kelvin-Helmholtz instability in superfluids
- Hydraulic Jump in One-dimensional Flow
- Cosmic Problems for Condensed Matter Experiment
- Spectrum of third sound cavity modes on superfluid He films
Cited by in corpus (24)
- Analogue simulations of quantum gravity with fluids
- Experimental demonstration of the supersonic-subsonic bifurcation in the circular jump: A hydrodynamic white hole
- Hydraulic Jump in One-dimensional Flow
- Standing and travelling waves in the shallow-water circular hydraulic jump
- Horizons and Ergoregions in Superfluids
- Evolution of transonicity in an accretion disc
- Survey of analogue spacetimes
- Perturbations on steady spherical accretion in Schwarzschild geometry
- Magnonic Analogue of Black/White Hole Horizon in Superfluid He-B
- On Spin Dependence of Relativistic Acoustic Geometry
- Classical Hydrodynamics for Analogue Spacetimes: Open Channel Flows and Thin Films
- Continuous hydraulic jumps in laminar channel flow
- Black holes, white holes, and near-horizon physics
- Dispersive censor of acoustic spacetimes with a shock-wave singularity
- Implications of nonlinearity for spherically symmetric accretion
- Nonlinear variations in axisymmetric accretion
- "Exotic" quantum effects in the laboratory?
- Emergent physics on Mach's principle and the rotating vacuum
- Vortices without inflow: bound spectra in horizonless rotational analogs
- Acoustic horizons in nuclear fluids
- Blue Holes and Froude Horizons: Circular Shallow Water Profiles for Astrophysical Analogs
- The circular jump as a hydrodynamic white hole
- Surface tension and instability in the hydrodynamic white hole of a circular hydraulic jump
- Recreating Fundamental Effects in the Laboratory?