arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0906.0689gr-qc
收藏

Kaluza-Klein时空中的Hoop猜想与视界形成截面

Hoop Conjecture and the Horizon Formation Cross-Section in Kaluza-Klein Spacetimes

Chul-moon Yoo, Hideki Ishihara, Masashi Kimura, Sugure Tanzawa

摘要:

我们分析了五维Kaluza-Klein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,我们讨论了黑洞的形成条件,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.利用新的猜想,我们估计了卡鲁扎-克莱因时空中粒子碰撞形成黑洞的截面。我们表明,质量依赖的截面给我们的信息的大小和数量的紧致额外的维度。

英文摘要:

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 a 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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑