Analytical investigation of wave absorption by a rotating black hole analogue

Abstract

Perturbations in a draining vortex can be described analytically in terms of confluent Heun functions. In the context of analogue models of gravity in ideal fluids, we investigate analytically the absorption length of waves in a draining bathtub, a rotating black hole analogue, using confluent Heun functions. We compare our analytical results with the corresponding numerical ones, obtaining excellent agreement.

13 pages, 3 figures, Contribution to Selected Papers of the Fifth Amazonian Symposium on Physics, accepted in IJMPD

References in corpus (10)

• Measurement of stimulated Hawking emission in an analogue system
• Detecting Rotational Superradiance in Fluid Laboratories
• Absorption of electromagnetic and gravitational waves by Kerr black holes: Shadows, superradiance and the spin-helicity effect
• Ergoregion instability: The hydrodynamic vortex
• Acoustic clouds: standing sound waves around a black hole analogue
• Quasinormal modes and Regge poles of the canonical acoustic hole
• Low-frequency absorption cross section of the electromagnetic waves for the extreme Reissner-Nordstrom black holes in higher dimensions
• Onset of superradiant instabilities in the hydrodynamic vortex model
• Quasinormal modes of the polytropic hydrodynamic vortex
• New Results for Quasi Normal Modes of Gravitational Waves