arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1102.2090gr-qc
收藏

五维时空中裸奇点的形成

Formation of naked singularities in five-dimensional space-time

Yuta Yamada, Hisa-aki Shinkai

摘要:

我们数值研究了四维和五维时空中无碰撞粒子的引力坍缩。我们重复了Shapiro和Teukolsky(1991)的模拟,发现了一个裸奇点的出现,并且发现在5D的情况下也有类似的结果。也就是说,在一个高度长轴的坍缩中,克雷奇曼不变量在物质之外爆炸,没有明显的视界形成。我们还发现,在5D中的崩溃比在4D中进行得更快,并在5D中出现的视视界的临界长轴比4D情况下松动。我们还展示了如何不同的崩溃与空间对称性比较,在单轴对称,SO(3),和那些在双轴对称,U(1)$\times$ U(1)的5D演变。

英文摘要:

We numerically investigate the gravitational collapse of collisionless particles in spheroidal configurations both in four and five-dimensional (5D) space-time. We repeat the simulation performed by Shapiro and Teukolsky (1991) that announced an appearance of a naked singularity, and also find that the similar results in 5D version. That is, in a collapse of a highly prolate spindle, the Kretschmann invariant blows up outside the matter and no apparent horizon forms. We also find that the collapses in 5D proceed rapidly than in 4D, and the critical prolateness for appearance of apparent horizon in 5D is loosened compared to 4D cases. We also show how collapses differ with spatial symmetries comparing 5D evolutions in single-axisymmetry, SO(3), and those in double-axisymmetry, U(1)$\times$U(1).

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。

↑