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For an excellent review and a detailed list of references, see H.P. Nollert, Class. Quantum Grav. 16, R159 (1999).
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Nollert, H.P.1
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S.L. Detweiler, in Sources of Gravitational Radiation, edited by L. Smarr (Cambridge University Press, Cambridge, England, 1979)
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S.L. Detweiler, in Sources of Gravitational Radiation, edited by L. Smarr (Cambridge University Press, Cambridge, England, 1979).
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L. Motl, gr-qc/0212096.
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85038984594
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It is important to note that the highly damped ringing frequencies depend upon the black-hole parameters (the mass in the Schwarzschild case) and are independent of l. This is a crucial feature, which is consistent with the interpretation of the highly damped ringing frequencies (in the (Formula presented) limit) as characteristics of the black hole itself
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It is important to note that the highly damped ringing frequencies depend upon the black-hole parameters (the mass in the Schwarzschild case) and are independent of l. This is a crucial feature, which is consistent with the interpretation of the highly damped ringing frequencies (in the (Formula presented) limit) as characteristics of the black hole itself.
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29
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85038981618
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J.D. Bekenstein, in XVII Brazilian National Meeting on Particles and Fields, edited by A.J. da Silva et al. (Brazilian Physical Society, Sao Paulo, 1996); in Proceedings of the VIII Marcel Grossmann Meeting on General Relativity, edited by T. Piran and R. Ruffini (World Scientific, Singapore, 1998)
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J.D. Bekenstein, in XVII Brazilian National Meeting on Particles and Fields, edited by A.J. da Silva et al. (Brazilian Physical Society, Sao Paulo, 1996); in Proceedings of the VIII Marcel Grossmann Meeting on General Relativity, edited by T. Piran and R. Ruffini (World Scientific, Singapore, 1998).
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S. Hod, Phys. Rev. D 59, 024014 (1999).
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Hod, S.1
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85038995307
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Note that in the Schwarzschild case with (Formula presented) there is a sharp transition from the behavior of the first few QNM frequencies into the regular asymptotic behavior, which occurs at the 10th overtone (see Fig. 11 of
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Note that in the Schwarzschild case with (Formula presented) there is a sharp transition from the behavior of the first few QNM frequencies into the regular asymptotic behavior, which occurs at the 10th overtone (see Fig. 11 of 9). Thus, one should not necessarily go to the (Formula presented) limit in order to obtain a fairly good estimate of the asymptotic behavior.
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