Hoop Conjecture and the Horizon Formation Cross-Section in Kaluza-Klein Spacetimes
Hoop Conjecture and the Horizon Formation Cross-Section in Kaluza-Klein Spacetimes
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DOI：
10.1103/physrevd.81.024020
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发表时间：
2009-06
影响因子：
5
通讯作者：
Chul-Moon Yoo;H. Ishihara;M. Kimura;Sugure Tanzawa
中科院分区：
文献类型：
--
作者：
Chul-Moon Yoo;H. Ishihara;M. Kimura;Sugure Tanzawa
我们分析了五维卡鲁扎-克莱因时空中两点源产生的引力场的瞬时静态初始数据集。这些初始数据集的特征在于质量、源的分离和额外维度的大小。利用这些初始数据集，我们讨论了黑洞形成的条件，并提出了一个新的猜想，它是四维环猜想和五维超环猜想的混合.利用这个新猜想，我们估计了Kaluza-Klein时空中粒子碰撞形成黑洞的截面。我们表明，横截面的质量依赖性给我们的信息的大小和数量的紧致额外的维度。
We analyze momentarily static initial data sets of the gravitational field produced by two-point sources in five-dimensional Kaluza-Klein spacetimes. These initial data sets are characterized by the mass, the separation of sources and the size of an extra dimension. Using these initial data sets, we discuss the condition for black hole formation, and propose a new conjecture which is a hybrid of the four-dimensional hoop conjecture and the five-dimensional hyperhoop conjecture. By using the new conjecture, we estimate the cross section of black hole formation due to collisions of particles in Kaluza-Klein spacetimes. We show that the mass dependence of the cross section gives us information about the size and the number of the compactified extra dimensions.