Resonant frequencies of the hydrodynamic vortex

Abstract

We study the sound perturbation of the hydrodynamic vortex geometry and present an exact expression for the resonant frequencies (quasispectrum) of this geometry. Exact solution for the radial part of the covariant Klein-Gordon equation in this spacetime is obtained, and is given in terms of the double confluent Heun functions. We found that the resonant frequencies are complex number.

9 pages, 1 figure

References in corpus (3)

• Confluent Heun functions and the physics of black holes: resonant frequencies, Hawking radiation and scattering of scalar waves
• Quasinormal modes and Regge poles of the canonical acoustic hole
• Scalar fields in the Lense-Thirring background with a cosmic string and Hawking radiation

Cited by in corpus (5)

• Resonant frequencies of a massless scalar field in the canonical acoustic black hole spacetime
• Analytic solutions in the acoustic black hole analogue of the conical Kerr metric
• Klein Gordon particle near R-N black hole, generalized sl(2) algebra and harmonic oscillator energy
• Symbolic analysis of second-order ordinary differential equations with polynomial coefficients
• Analysis of scalar fields with series convolution