Quasinormal modes and Regge poles of the canonical acoustic hole

Journal Article · Fri Oct 15 04:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.084037· OSTI ID:21433016

Dolan, Sam R; Oliveira, Leandro A; Crispino, Luis C. B. ^[1]

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1. School of Mathematics, University of Southampton, Highfield, Southampton SO17 1BJ (United Kingdom)

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 quasinormal 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 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.

• OSTI ID: 21433016
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 82; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
APPROXIMATIONS
ASYMPTOTIC SOLUTIONS
BLACK HOLES
CALCULATION METHODS
COMPUTERIZED SIMULATION
DISTURBANCES
EXPANSION
MATHEMATICAL SOLUTIONS
OSCILLATIONS
PERTURBATION THEORY
REGGE POLES
SIMULATION
SPECTRA
WKB APPROXIMATION