Laval nozzle as an acoustic analogue of a massive field

2013/04/11 by M. A. Cuyubamba, M A Cuyubamba · 1 citation
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Field (mathematics) #Flow (mathematics) #Nozzle #Quantum Electrodynamics and Casimir Effect #Ringing #Scalar (mathematics) #Scalar field #Schwarzschild radius #gr-qc

paper · pdf · doi:10.1088/0264-9381/30/19/195005

published as Class.Quant.Grav. 30 (2013) 195005 · 9 pages, 2 figures

arxiv created 2013/04/11 · openalex publication_date 2013/09/04 · arxiv updated 2015/04/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study a gas flow in the Laval nozzle, which is a convergent–divergent tube that has a sonic point in its throat. We show how to obtain the appropriate form of the tube, so that the acoustic perturbations of the gas flow in it satisfy any given wave-like equation. With the help of the proposed method we find the Laval nozzle, which is an acoustic analogue of the massive scalar field in the background of the Schwarzschild black hole. This gives us a possibility to observe in a laboratory the quasinormal ringing of the massive scalar field, which, for special set of the parameters, can have infinitely long-living oscillations in its spectrum.

Citations

• Quasinormal modes of black holes: From astrophysics to string theory
• Quasinormal ringing of acoustic black holes in Laval nozzles: Numerical simulations
• Massive quasi-normal mode
• Black strings andp-branes are unstable
• Perturbations and quasi-normal modes of black holes in Einstein–Aether theory
• Gravitational spectrum of black holes in the Einstein–Aether theory
• Late-time behavior of stellar collapse and explosions. I. Linearized perturbations
• Numerical observation of Hawking radiation from acoustic black holes in atomic Bose–Einstein condensates

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