Vacuum initial data, singularities, and cosmic censorship.
Vacuum initial data, singularities, and cosmic censorship.
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真空初始数据、奇点和宇宙审查。
DOI：
10.1103/physrevd.46.2452
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发表时间：
1992
期刊：
影响因子：
--
通讯作者：
S. Teukolsky
中科院分区：
文献类型：
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作者：
A. Abrahams;K. R. Heiderich;Stuart L. Shapiro;S. Teukolsky
在真空中形成裸奇点，渐近平坦的时空将是对宇宙审查的明显违反。我们发现爱因斯坦场方程的初始值解可能导致这种行为。我们构造了两个族的渐近平坦的，轴对称的真空解在时间对称的时刻。这些族的极限成员是单一的。我们的第一个家庭代表了史瓦西黑洞的线性弦。我们研究了当孔的数目沿着增加时，孔外引力潮汐场的发散。我们的第二个家庭由长Brill引力波包。我们检查的潮汐场强度的波的特征宽度减少到零。在这两种情况下，我们发现，配置可以构造任意大的领域，不被覆盖的明显的地平线。这些构型的特征是质量能量长而扁长的集中。我们分析我们的结果的上下文中的箍猜想。
The formation of a naked singularity in a vacuum, asymptotically flat spacetime would be a clear violation of cosmic censorship. We find initial value solutions to Einstein's field equations that may lead to this behavior. We construct two families of asymptotically flat, axisymmetric vaccum solutions at a moment of time symmetry. The limiting members of these families are singular. Our first family represents a linear string of Schwarzschild black holes. We study the divergence of the gravitational tidal field outside the holes as their number along the string is increased. Our second family consists of prolate Brill gravitational wave packets. We examine the tidal field strength as the characteristic width of the wave is reduced towards zero. In both cases we find that configurations can be constructed with arbitrarily large fields that are not clothed by apparent horizons. These configurations are characterized by long, prolate concentrations of mass energy. We analyze our results in the context of the hoop conjecture.