Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-06-18
Class.Quant.Grav.24:5901-5910,2007
Physics
High Energy Physics
High Energy Physics - Theory
6 pages, RevTex, submitted to Class. Quantum Grav., title changed
Scientific paper
10.1088/0264-9381/24/23/012
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.
Abdalla Elcio
Konoplya Roman A.
Zhidenko Alexander
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