Perturbations of Schwarzschild black holes in laboratories

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.

6 pages, RevTex, submitted to Class. Quantum Grav., title changed

References in corpus (15)

• Quasinormal modes of gravitational perturbation around a Schwarzschild black hole surrounded by quintessence
• Higher-Derivative Corrected Black Holes: Perturbative Stability and Absorption Cross-Section in Heterotic String Theory
• Quasinormal modes of D-dimensional de Sitter spacetime
• Quasi-Normal Modes of Brane-Localised Standard Model Fields
• Perturbations and quasi-normal modes of black holes in Einstein-Aether theory
• Gravitational spectrum of black holes in the Einstein-Aether theory
• Late time tails of the massive vector field in a black hole background
• Quasi-Normal Modes of Brane-Localised Standard Model Fields II: Kerr Black Holes
• Stability and thermodynamics of brane black holes
• Quasinormal modes for the Vaidya metric
• Quasinormal modes for tensor and vector type perturbation of Gauss Bonnet black holes using third order WKB approach
• The signals from the brane-world black Hole
• Quasi-normal mode analysis in BEC acoustic black holes
• The Mystery of the Asymptotic Quasinormal Modes of Gauss-Bonnet Black Holes
• Graviton emission from a Gauss-Bonnet brane

Cited by in corpus (4)

• Behavior of Quasinormal Modes and high dimension RN-AdS Black Hole phase transition
• Quasinormal modes and Regge poles of the canonical acoustic hole
• Robin boundary conditions in acoustic BTZ black holes
• Quadratic curvature terms and deformed Schwarzschild-de Sitter black hole analogues in the laboratory