Black Hole Universe : Construction and Analysis of Initial Data
Black Hole Universe : Construction and Analysis of Initial Data
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黑洞宇宙：初始数据的构建和分析
DOI：
10.1103/physrevd.86.044027
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发表时间：
2012
影响因子：
5
通讯作者：
孝森洋介
中科院分区：
文献类型：
--
作者：
柳哲文;阿部博之;中尾憲一;孝森洋介
我们用数值方法构建了一个膨胀的非均匀宇宙模型的初始数据的单参数族，该模型由具有相同质量的规则排列的黑洞组成。它们是爱因斯坦方程真空解的初始数据。我们将这个宇宙模型称为“黑洞宇宙”，并分析这些初始数据的结构。我们研究了对应于哈勃参数的3维空间的平均膨胀率与黑洞质量密度之间的关系。结果表明，在相邻黑洞之间的大间隔的极限下，实现了与爱因斯坦-德西特宇宙相同的关系。还讨论了宇宙学牛顿体模拟对黑洞组成的暗物质的适用性。如果相邻粒子之间的间隔长度比其引力半径大 20 倍，则在远离粒子的区域中，宇宙学牛顿体系统的空间度量与黑洞宇宙的空间度量的偏差小于约 1%。相比之下，在相同的分离长度下，宇宙学牛顿体系统的哈勃参数平方与黑洞宇宙的哈勃参数平方的偏差约为20%。
We numerically construct an one-parameter family of initial data of an expanding inhomogeneous universe model which is composed of regularly aligned black holes with an identical mass. They are initial data for vacuum solutions of the Einstein equations. We call this universe model the “black hole universe” and analyze the structure of these initial data. We study the relation between the mean expansion rate of the 3-space, which corresponds to the Hubble parameter, and the mass density of black holes. The result implies that the same relation as that of the Einstein-de Sitter universe is realized in the limit of the large separation between neighboring black holes. The applicability of the cosmological Newtonian-body simulation to the dark matter composed of black holes is also discussed. The deviation of the spatial metric of the cosmological Newtonian-body system from that of the black hole universe is found to be smaller than about 1% in a region distant from the particles, if the separation length between neighboring particles is 20 times larger than their gravitational radius. By contrast, the deviation of the square of the Hubble parameter of the cosmological Newtonian-body system from that of the black hole universe is about 20% for the same separation length.