论文标题
vaidya空间中的通用裸奇异物
Generic Naked Singularities in Vaidya Spacetimes
论文作者
论文摘要
我们研究了零元素的裸体奇异性（本地和全球）的发生，最初的质量为零。尽管众所周知，这些空位承认本地和全球裸露的奇异性，但我们证明，全球裸露的奇异性比文献中所强调的要普遍得多，在这种空间集合中，自然拓扑中是通用的。结果的启发式后果是，在这些时间段内，对于两种类型的裸奇异物而言，质量的缓慢积累既需要又足够。我们证明，只要存在裸露的奇异性，无论质量函数的形式如何，沿新兴的无效曲线始终具有与之相关的曲率（Kretschmann标量）。特别是，结果是，奇异性的曲率强度无法平滑。
We investigate the occurrence of naked singularities, local and global, in the incoming Vaidya spacetimes with zero initial mass. While it is well-known that these spacetimes admit locally and globally naked singularities, we demonstrate that globally naked singularities are significantly more common than is stressed in the literature, being generic in a natural topology on this collection of spacetimes. A heuristic consequence of the results is that the slow accumulation of mass is both necessary and sufficient for both types of naked singularities in these spacetimes. We demonstrate that the naked singularity, as long as it exists, always has divergent curvature (Kretschmann scalar) associated to it along emerging null curves, regardless of the form of the mass function. In particular, a consequence is that the curvature strength of the singularity cannot be smoothed away.
