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arXiv 1104.3685gr-qc
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构造黑洞周围自引力环面模型的一种改进方法

An improved method for constructing models of self-gravitating tori around black holes

Nikolaos Stergioulas

摘要:

在紧化坐标系下,用自洽场方法构造了黑洞周围自引力环面的广义相对论模型。数字代码是高度准确和强大的,允许构建的模型,完全填补他们的罗氏瓣,当尖点存在。作为第一个应用程序,我们专注于自洽模型与尖点,具有不同的恒定比角动量值。缩放所有的结果与黑洞的质量,我们发现的证据表明,模型与恒定的特定角动量,可以填补他们的罗氏瓣仍然是有限的$l<4M_{\rm BH}$(是在一个固定的背景度量构建的模型的情况下),即使是沉重的环面。

英文摘要:

General-relativistic models of self-gravitating tori around black holes are constructed with a self-consistent-field method in compactified coordinates. The numerical code is highly accurate and robust, allowing for the construction of models that exactly fill their Roche lobe, when a cusp exists. As a first application, we focus on self-consistent models with cusp, having different values of constant specific angular momentum. Scaling all results with the mass of the black hole, we find evidence that models with constant specific angular momentum that can fill their Roche lobe are still limited by $l<4M_{\rm BH}$ (as is the case for models constructed in a fixed background metric) even for heavy tori.

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