Formation of naked singularities infive-dimensional space-time
Formation of naked singularities infive-dimensional space-time
复制标题
无限维时空裸奇点的形成
DOI：
10.1103/physrevd.83.064006
复制
发表时间：
2011
影响因子：
5
通讯作者：
& H. Shinkai
中科院分区：
文献类型：
--
作者：
Y. Yamada;& H. Shinkai
我们对四维和五维 (5D) 时空中球体结构中的无碰撞粒子的引力塌缩进行了数值研究。我们重复了 Shapiro 和 Teukolsky (1991) 进行的模拟，该模拟宣布了裸奇点的出现，并且在 5D 版本中也发现了类似的结果。也就是说，在高度长长纺锤体的塌陷中，克雷奇曼不变量在物质外部爆炸，并且没有明显的视界形成。我们还发现，5D 中的塌陷比 4D 中的塌陷进行得更快，并且与 4D 情况相比，5D 中视视界出现的临界扁长度有所放松。我们还通过比较单轴对称 SO(3) 和双轴对称中的 5D 演化，展示了塌陷与空间对称性的不同。
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 similar results in the 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 more rapidly than in 4D, and the critical prolateness for the appearance of an 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,.