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.
8 pages, 7 figures. Matches published version
References in corpus (5)
- First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
- The Confrontation between General Relativity and Experiment
- Measurement of stimulated Hawking emission in an analogue system
- Observation of negative-frequency waves in a water tank: A classical analogue to the Hawking effect?
- Analog Systems for Gravity Duals