arXiv 1010.39712010-10gr-qcastro-ph.CO

我们知道黑洞的质量吗？某些宇宙学黑洞模型的质量

Do we know the mass of a black hole? Mass of some cosmological black hole models

J. T. Firouzjaee, M. Parsi Mood, Reza Mansouri

备注：: 11 pages, 8 figures, revised version, accepted in General Relativity and Gravitation
DOI：: 10.1007/s10714-011-1297-0

摘要：

利用最近提出的一个宇宙学黑洞模型，我们计算了在宇宙学背景下坍缩结构的准局域质量，以考察它们之间的相似性和不同性。已经证明，视界内的质量遵循熟悉的布朗-约克行为。然而，在视界外，它在短暂的下降之后又增加了，这与史瓦西的情况相反。在更远的地方，在空洞附近，在塌陷区域之外，在密度达到背景最小值的地方，所有的质量定义大致一致。一般来说，我们会遇到三种不同的布朗-约克质量极大值：在视界附近，在过密度区和背景之间的空隙周围，还有一种在宇宙学距离上，对应于宇宙学视界。虽然后两个极大值总是存在的，视界质量极大值是不存在的发病前的中心奇点。

英文摘要：

Using a cosmological black hole model proposed recently, we have calculated the quasi-local mass of a collapsing structure within a cosmological setting due to different definitions put forward in the last decades to see how similar or different they are. It has been shown that the mass within the horizon follows the familiar Brown-York behavior. It increases, however, outside the horizon again after a short decrease, in contrast to the Schwarzschild case. Further away, near the void, outside the collapsed region, and where the density reaches the background minimum, all the mass definitions roughly coincide. They differ, however, substantially far from it. Generically, we are faced with three different Brown-York mass maxima: near the horizon, around the void between the overdensity region and the background, and another at cosmological distances corresponding to the cosmological horizon. While the latter two maxima are always present, the horizon mass maxima is absent before the onset of the central singularity.

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