2010
DOI: 10.1103/physrevd.82.084037
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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, . . .. 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… Show more

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Cited by 28 publications
(27 citation statements)
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“…For previous studies of quasi-normal oscillations in fluid analogue black hole modes, see for example Refs. [14,20,21]. Contrary to these references which are mainly concerned with analogue black holes in the laboratory, the scenario considered in this article refers to an astrophysical analogue black hole.…”
Section: Introductionmentioning
confidence: 89%
“…For previous studies of quasi-normal oscillations in fluid analogue black hole modes, see for example Refs. [14,20,21]. Contrary to these references which are mainly concerned with analogue black holes in the laboratory, the scenario considered in this article refers to an astrophysical analogue black hole.…”
Section: Introductionmentioning
confidence: 89%
“…The numerical methods employed in this problem are based on the shooting method, which is also called the direct integration (DI) method [31][32][33][34]. It is shown that the DI method is specially suited to find a stationary field configuration with the mirror-like boundary condition.…”
Section: Numerical Procedures and Resultsmentioning
confidence: 99%
“…It is therefore of interest to understand if a given property observed in BH spacetimes can be mimicked by analogue models. Within this context, BH properties like absorption [4,5], scattering [6,7], quasinormal modes, and Regge poles [8][9][10][11][12] have been investigated in acoustic analogue spacetimes over the past few years.…”
Section: Introductionmentioning
confidence: 99%