Nakedness and curvature strength of a shell-focusing singularity in spherically symmetric spacetime with vanishing radial pressure
Nakedness and curvature strength of a shell-focusing singularity in spherically symmetric spacetime with vanishing radial pressure
复制标题
径向压力消失的球对称时空中壳聚焦奇点的裸性和曲率强度
DOI：
10.1088/0264-9381/16/8/315
复制
发表时间：
1999
影响因子：
3.5
通讯作者：
H. Iguchi
中科院分区：
文献类型：
--
作者：
T. Harada;K. Nakao;H. Iguchi
最近的研究表明，描述径向压力为零的球对称时空的度规函数可以显式积分。我们研究了该时空中壳聚焦奇异性的裸露性和曲率强度。如果奇点是裸的，则圆周半径和Misner-Sharp质量之间的关系由R2 y 0 m给出，其中沿着奇点的第一条径向零测地线（1/3）<1。这与裸奇点的曲率强度密切相关。例如，对于输出或输入的零测地线，如果Tipler的强曲率条件（SCC）成立，则必须等于1。我们定义了测地线的“引力支配条件”（GDC）。如果零测地线满足GDC，则SCC和Krolak的极限聚焦条件（LFC）对于= 1和y 01都成立，对于1/2 <1不成立SCC而只有LFC成立，对于（1/3）<<1/2都不成立。另一方面，如果GDC满足类时测地线r = 0，SCC和LFC都满足类时测地线，无论的值。还讨论了几个例子。
It was shown recently that the metric functions which describe a spherically symmetric spacetime with vanishing radial pressure can be explicitly integrated. We investigate the nakedness and curvature strength of the shell-focusing singularity in that spacetime. If the singularity is naked, the relation between the circumferential radius and the Misner-Sharp mass is given by R2y0m with (1/3)<1 along the first radial null geodesic from the singularity. The is closely related to the curvature strength of the naked singularity. For example, for the outgoing or ingoing null geodesic, if the strong curvature condition (SCC) of Tipler holds, then must be equal to 1. We define the `gravity-dominance condition' (GDC) for a geodesic. If GDC is satisfied for the null geodesic, both SCC and the limiting focusing condition (LFC) of Krolak holds for = 1 and y01, not SCC but only LFC holds for ½<1, and neither holds for (1/3)<<½, for the null geodesic. On the other hand, if GDC is satisfied for the timelike geodesic r = 0, both SCC and LFC are satisfied for the timelike geodesic, irrespective of the value of . Several examples are also discussed.
DOI：
10.1017/9781009253161
发表时间：
2023-02
期刊：
--
影响因子：
--
作者：
S. Hawking;G. Ellis
通讯作者：
S. Hawking;G. Ellis