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Entropy spectra of black holes from resonance modes in scattering by the black holes

机译:来自黑洞散射的共振模态的黑洞的熵谱

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Since Bekenstein's proposal that a black hole has an equally spaced area spectrum, the quasinormal modes (QNM) as the characteristic modes of a black hole have been used for 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 Bekenstein's proposal. In this paper, noting that black holes can have three types of resonance modes which are QNM, total transmission modes (TTM), and total reflection modes (TRM), we propose that all of these modes in a 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 an action variable, we find a very simple result from the TRM. It gives an equally spaced outer horizon area. Therefore, by the 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 the equally spaced entropy spectrum.
机译:自从Bekenstein提出黑洞具有相等间隔的区域光谱以来,准自然模式(QNM)作为黑洞的特征模式已被用于获得黑洞的水平区域光谱。但是,先前的一些作品中的Kerr黑洞的面积光谱与Bekenstein的建议不一致。在本文中,注意到黑洞可以具有三种类型的共振模式,即QNM,全透射模式(TTM)和全反射模式(TRM),我们建议在高阻尼状态下使用所有这些模式。量化黑洞。尽管Kerr黑洞的QNM和TTM从动作变量的Bohr-Sommerfeld量化为我们提供了复杂的量化条件,但我们从TRM中发现了非常简单的结果。它给出了等距的外部地平线区域。因此,根据Bekenstein-Hawking面积定律,我们发现Kerr黑洞具有等距熵谱的普遍行为。使用相同的论点,我们发现Reissner-Nordstrom黑洞也具有等距的熵谱。

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