Rotating black holes in a draining bathtub: superradiant scattering of gravity waves
arXiv:1411.1662 · doi:10.1103/PhysRevD.91.124018
Abstract
In a draining rotating fluid flow background, surface perturbations behave as a scalar field on a rotating effective black hole spacetime. We propose a new model for the background flow which takes into account the varying depth of the water. Numerical integration of the associated Klein-Gordon equation using accessible experimental parameters shows that gravity waves in an appropriate frequency range are amplified through the mechanism of superradiance. Our numerical results suggest that the observation of this phenomenon in a common fluid mechanical system is within experimental reach. Unlike the case of wave scattering around Kerr black holes, which depends only on one dimensionless background parameter (the ratio between the specific angular momentum and the mass of the black hole), our system depends on two dimensionless background parameters, namely the normalized angular velocity and surface gravity at the effective black hole horizon.
arXiv commentv3: 13 pages, 4 figures. Revised version with minor updates and journal reference
References in corpus (25)
- Acoustic black holes: horizons, ergospheres, and Hawking radiation
- Fiber-optical analogue of the event horizon
- Dumb Holes and the Effects of High Frequencies on Black Hole Evaporation
- Measurement of stimulated Hawking emission in an analogue system
- Hawking Spectrum and High Frequency Dispersion
- Observation of self-amplifying Hawking radiation in an analog black hole laser
- Hawking radiation from ultrashort laser pulse filaments
- Observation of negative-frequency waves in a water tank: A classical analogue to the Hawking effect?
- Gravity wave analogs of black holes
- Hawking Radiation Without Transplanckian Frequencies
- The many faces of superradiance
- Computing the spectrum of black hole radiation in the presence of high frequency dispersion: an analytical approach
- An acoustic black hole in a stationary hydrodynamic flow of microcavity polaritons
- Black Hole Evaporation in the Presence of a Short Distance Cutoff
- Quasinormal modes and classical wave propagation in analogue black holes
- `Superresonance' from a rotating acoustic black hole
- Negative frequency resonant radiation
- Generalised superradiant scattering
- Black hole radiation with short distance dispersion, an analytical S-matrix approach
- Quasinormal modes, Superradiance and Area Spectrum for 2+1 Acoustic Black Holes
- Reflection coefficient for superresonant scattering
- Scattering of dislocated wavefronts by vertical vorticity and the Aharonov-Bohm effect I: Shallow water
- Surface gravities for non-Killing horizons
- Experimental demonstration of the supersonic-subsonic bifurcation in the circular jump: A hydrodynamic white hole
- Superradiant scattering of dispersive fields
Cited by in corpus (32)
- Observation of superradiance in a vortex flow
- Quasinormal mode oscillations in an analogue black hole experiment
- GUP Assisted Hawking Radiation of Rotating Acoustic Black Holes
- Backreaction in an analogue black hole experiment
- Detecting Rotational Superradiance in Fluid Laboratories
- Slowly-rotating curved acoustic black holes: Quasinormal modes, Hawking-Unruh radiation and quasibound states
- Analog Schwarzschild black holes of Bose-Einstein condensates in a cavity: Quasinormal modes and quasibound states
- Ergoregion instabilities in rotating two-dimensional Bose--Einstein condensates: new perspectives on the stability of quantized vortices
- Analogue gravity and the Hawking effect: historical perspective and literature review
- Understanding superradiant phenomena with synthetic vector potentials in atomic Bose-Einstein condensates
- Superradiance in dispersive black hole analogues
- Vorticity in analogue spacetimes
- AdS and dS black hole solutions in analogue gravity: The relativistic and non-relativistic cases
- Zero-point excitation of a circularly moving detector in an atomic condensate and phonon laser dynamical instabilities
- Analogue gravity by an optical vortex. Resonance enhancement of Hawking radiation
- Perturbing the vortex: quasinormal and quasibound spectra of rotating acoustic geometries
- Analogue Quantum Simulation: A New Instrument for Scientific Understanding
- Quantum Brownian motion in an analog Friedmann-Robertson-Walker geometry
- Rotational superradiance with Bogoliubov dispersion
- Analogue model for anti-de Sitter as a description of point sources in fluids
- Imperfect draining vortex as analogue extreme compact object
- Scattering of surface shallow water waves on a draining bathtub vortex
- Towards a Gordon form of the Kerr spacetime
- Analogue Hawking Effect: BEC and Surface Waves
- Estimate of the superradiance spectrum in dispersive media
- Acoustic Superradiance from a Bose-Einstein Condensate Vortex with a Self-Consistent Background Density Profile
- Dispersive censor of acoustic spacetimes with a shock-wave singularity
- Vortices without inflow: bound spectra in horizonless rotational analogs
- Analog rotating black holes in a magnetohydrodynamic inflow
- Mimicking a rotating black hole with nonlinear electrodynamics
- Quasibound states of analytic black-hole configurations in three and four dimensions
- On the analogy between black holes and bathtub vortices