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High Energy Physics - Theory

arXiv:0706.2489 (hep-th)
[Submitted on 18 Jun 2007 (v1), last revised 4 Oct 2007 (this version, v2)]

Title:Perturbations of Schwarzschild black holes in laboratories

Authors:E. Abdalla, R.A. Konoplya, A. Zhidenko
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Abstract: It is well-known that the perturbations of Schwarzschild black holes are governed by a wave equation with some effective potential. We consider perturbations of a gas in a tube called Laval nozzle, which is narrow in the middle and has a sonic point in the throat. By equating the wave equation in a Laval nozzle of an arbitrary form with the wave equation of spin-s perturbations of Schwarzschild black holes, we find the exact expression for the form of the Laval nozzle, for which acoustic perturbations of the gas flow corresponds to the general form of perturbations of Schwarzschild black holes. This allows observation, in a laboratory, of the acoustic waves, which are analogue of damping quasinormal oscillations of Schwarzschild black holes. The found exact acoustic analog allows to observe also some other phenomena governed by the wave equation, such as the wave scattering and tunneling.
Comments: 6 pages, RevTex, submitted to Class. Quantum Grav., title changed
Subjects: High Energy Physics - Theory (hep-th); Astrophysics (astro-ph); General Relativity and Quantum Cosmology (gr-qc)
Cite as: arXiv:0706.2489 [hep-th]
  (or arXiv:0706.2489v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.0706.2489
Journal reference: Class.Quant.Grav.24:5901-5910,2007
Related DOI: https://doi.org/10.1088/0264-9381/24/23/012

Submission history

From: Roman Konoplya [view email]
[v1] Mon, 18 Jun 2007 17:38:07 UTC (243 KB)
[v2] Thu, 4 Oct 2007 16:23:54 UTC (244 KB)
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