黑洞与黑洞散射共振模的熵谱
Entropy spectra of black holes from resonance modes in scattering by the black holes
摘要：
自从Bekenstein提出黑洞具有等间距面积谱以来，准正规模作为黑洞的特征模被用来获得黑洞的视界面积谱。然而，克尔黑洞的面积谱在以前的一些工作与贝肯斯坦的建议是不一致的。本文指出黑洞可以有三种共振模式，即准正规模式（QNM）、全透射模式（TTM）和全反射模式（TRM），并提出在高阻尼区，所有这些模式都可以用来量子化黑洞.虽然Kerr黑洞的QNM和TTM从作用量的Bohr-Sommerfeld量子化中给出了复杂的量子化条件，但我们从TRM中得到了一个非常简单的结果。它给出了等间距的外地平线区域。因此，由Bekenstein-Hawking面积定律，我们发现Kerr黑洞具有等间距熵谱的普适行为。在同样的论证下，我们发现Reissner-Nordstrom黑洞也具有等间距的熵谱。
英文摘要：
Since the Bekenstein's proposal that a black hole has equally spaced area spectrum, the quasinormal modes as the characteristic modes of a black hole have been used in obtaining the horizon area spectrum of the black hole. However, the area spectrum of the Kerr black hole in some previous works was inconsistent with the Bekenstein's proposal. In this paper, noting that black holes can have three types of resonance modes which are quasinormal modes (QNM), total transmission modes (TTM), and total reflection modes (TRM), we propose that all of these modes in highly damped regime should be used in quantizing the black hole. Although the QNM and the TTM of the Kerr black hole give us complicated quantization conditions from the Bohr-Sommerfeld quantization of action variable, we find a very simple result from the TRM. It gives equally spaced outer horizon area. Therefore by Bekenstein-Hawking area law we find that the Kerr black hole has universal behavior of the equally spaced entropy spectrum. With the same argument, we find that the Reissner-Nordstrom black hole also has equally spaced entropy spectrum.
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