Quasinormal modes and Regge poles of the canonical acoustic hole

Abstract

We compute the quasinormal mode frequencies and Regge poles of the canonical acoustic hole (a black hole analogue), using three methods. First, we show how damped oscillations arise by evolving generic perturbations in the time domain using a simple finite-difference scheme. We use our results to estimate the fundamental QN frequencies of the low multipolar modes $l=1,2,\dots$. Next, we apply an asymptotic method to obtain an expansion for the frequency in inverse powers of $l+1/2$ for low overtones. We test the expansion by comparing against our time-domain results, and (existing) WKB results. The expansion method is then extended to locate the Regge poles. Finally, to check the expansion of Regge poles we compute the spectrum numerically by direct integration in the frequency domain. We give a geometric interpretation of our results and comment on experimental verification.

10 pages, 4 figures, 3 tables. To match published version (2010)

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• Scalar clouds in charged stringy black hole-mirror system
• Back-reaction in canonical analogue black holes
• Quasi-normal acoustic oscillations in the Michel flow
• Onset of superradiant instabilities in the hydrodynamic vortex model
• Quasinormal modes of the polytropic hydrodynamic vortex
• Fermionic greybody factors in Schwarzschild acoustic black holes
• Gravitational analog of the canonical acoustic black hole in Einstein-scalar-Gauss-Bonnet theory
• Marginally stable resonant modes of the polytropic hydrodynamic vortex
• Ergoregion instability in a fluid with vorticity
• Analytical investigation of wave absorption by a rotating black hole analogue