论文标题
临界崩溃中裸奇异的力量
Strength of the naked singularity in critical collapse
论文作者
论文摘要
标量场的临界崩溃是黑洞形成的阈值解决方案，其中出现了赤裸的奇异性。我们在这里使用数值ANSATZ研究了这种奇异性的曲率强度。沿着非空间的大地测量学的行为以奇异性的限制检查了雅各比体积形式的行为。这些被认为正在消失，因此表明所有物理物体都将被粉碎到奇异性附近的零尺寸。因此，尽管临界崩溃被认为是一个微调问题，但裸奇异性的形成在重力上是强大的。这意味着时空不能超越奇异性，从而使奇异性变得真实且在身体上有趣。这些结果表明，可能需要对临界崩溃的性质进行检查和进一步探讨。
The critical collapse of a scalar field is a threshold solution of black hole formation, in which a naked singularity arises. We study here the curvature strength of this singularity using a numerical ansatz. The behavior of the Jacobi volume forms is examined along a non-spacelike geodesic in the limit of approach to the singularity. These are seen to be vanishing, thus showing that all physical objects will be crushed to zero size near the singularity. Consequently, although the critical collapse is considered to be a fine-tuning problem, the naked singularity forming is gravitationally strong. This implies that the spacetime cannot be extended beyond the singularity, thus making the singularity genuine and physically interesting. These results imply that the nature of critical collapse may need to be examined and explored further.
