Analogue models for Schwarzschild and Reissner-Nordström spacetimes
arXiv:2106.03960 · doi:10.1103/PhysRevD.104.024036
Abstract
We present analogue models for the Schwarzschild and Reissner-Nordström (RN) spacetimes based on unidirectional hydrodynamic flows. We show that, with appropriate coordinate transformations, sound waves in a moving fluid propagate as scalar fields at the equatorial sections of Schwarzschild and RN black holes. The coordinate associated with the direction of the flow plays the role of the radial coordinate in standard Schwarzschild/RN coordinates, while the transversal spatial coordinate is related to the angular coordinate on each equatorial slice. The magnitude of the flow velocity is related to the mass and charge of the analogue black hole. Physical quantities like pressure and density remain finite at the analogue horizon, thereby resulting in sound waves that are well defined almost everywhere, except possibly at the analogue black hole singularity.
arXiv comment8 pages, 7 figures. Matches published version
References in corpus (22)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
- The Confrontation between General Relativity and Experiment
- Analogue Gravity
- Acoustic black holes: horizons, ergospheres, and Hawking radiation
- Observation of quantum Hawking radiation and its entanglement in an analogue black hole
- Measurement of stimulated Hawking emission in an analogue system
- Stationary Black Holes: Uniqueness and Beyond
- Observation of thermal Hawking radiation at the Hawking temperature in an analogue black hole
- Observation of negative-frequency waves in a water tank: A classical analogue to the Hawking effect?
- Gravity wave analogs of black holes
- Observation of superradiance in a vortex flow
- Observation of noise correlated by the Hawking effect in a water tank
- A rapidly expanding Bose-Einstein condensate: an expanding universe in the lab
- Observation of stationary spontaneous Hawking radiation and the time evolution of an analogue black hole
- Conformal Invariance of Black Hole Temperature
- Quasinormal mode oscillations in an analogue black hole experiment
- Causal structure of acoustic spacetimes
- Vortex geometry for the equatorial slice of the Kerr black hole
- 100 years of the first experimental test of General Relativity
- Analogue Black Hole Spectroscopy; or, how to listen to dumb holes
- Analog Systems for Gravity Duals
Cited by in corpus (7)
- Acoustic regular black hole in fluid and its similarity and diversity to a conformally related black hole
- Optical analogue of the Schwarzschild-Planck metric
- Regular black holes with improved energy conditions and their analogues in fluids
- Analog Schwarzschild-like geometry in fluids with external pressure
- Analog model for the BTZ black hole
- Analogue gravitational lensing in optical Bose-Einstein condensates
- Comment on "Analog Schwarzschild-like geometry in fluids with external pressure''