Motivated by the new physical interpretation of quasinormal modes proposed by Maggiore [Phys. Rev. Lett.] 100 (2008) 141301, we investigate the quantization of large Schwarzschild-Anti de Sitter black holes in even-dimensional spacetimes, from the interesting highly real quasinormal modes found recently. Following Maggiore's treatment and Kunstatter's method, we derive the area and entropy spectra of the black holes. It is found that the results from both approaches are in full consistency. This implies that one can quantize a black hole via different asymptotic quasinormal modes besides the high damping ones that are usually adopted in the literature. Furthermore, we find that the area and entropy spectra are equidistant and independent of the cosmological constant. However, the spacings depend on the black hole dimension.%Motivated by the new physical interpretation of quasinormal modes proposed by Maggiore [Phys.Rev.Lett.]100(2008) 141301,we investigate the quantization of large Schwarzschild-Anti de Sitter black holes in evendimensional spacetimes,from the interesting highly real quasinormal modes found recently.Following Maggiore's treatment and Kunstatter's method,we derive the area and entropy spectra of the black holes.It is found that the results from both approaches are in full consistency.This implies that one can quantize a black hole via different asymptotic quasinormal modes besides the high damping ones that are usually adopted in the literature.Furthermore,we find that the area and entropy spectra are equidistant and independent of the cosmological constant.However,the spacings depend on the black hole dimension.Since Bekenstein[1] firstly conjectured the equidistant area spectrum An =γnh (n =1,2,3,… ) by regarding the horizon area of a nonextremal black hole as a classical adiabatic invariant,many attempts have been made to derive the area and entropy spectra directly from the dynamical modes of the classical theory.[2-8] An important step in this direction was made by Hod,[9] who suggested that the real part of the asymptotic quasinormal modes (QNMs) be re garded as a transition frequency in the semiclassical limit and then determined the dimensionless constant γ as γ =4 ln 3 from QNMs of the Schwarzschild black hole.Later,Kunstatter[10] obtained an equally spaced entropy spectrum of the d(≥ 4)-dimensional Schwarzschild black hole,which confirmed Hod's idea.
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