Phys. Rev. D 69, 124018 (2004) [5 pages]Highly damped quasinormal modes of Kerr black holes: A complete numerical investigationReceived 13 January 2004; published 22 June 2004 We compute for the first time very highly damped quasinormal modes of the (rotating) Kerr black hole. Our numerical technique is based on a decoupling of the radial and angular equations, performed using a large-frequency expansion for the angular separation constant sAlm. This allows us to go much further in overtone number than ever before. We find that the real part of the quasinormal frequencies approaches a nonzero constant value which does not depend on the spin s of the perturbing field or on the angular index l: ωR=mϖ(a). We numerically compute ϖ(a). Leading-order corrections to the asymptotic frequency are likely to be ∼1/ωI. The imaginary part grows without bound, the spacing between consecutive modes being a monotonic function of a. © 2004 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.69.124018
DOI:
10.1103/PhysRevD.69.124018
PACS:
04.70.Bw, 04.30.Nk, 11.25.-w
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