论文标题
Schwarzschild的奇异定理
Singularity theorems in Schwarzschild spacetimes
论文作者
论文摘要
我们介绍了由于彭罗斯和霍金以及它们的身体解释而引起的两个杰出的奇异定理的评论。他们的用法详细讨论了Schwarzschild时空的质量和负质量。首先，我们提出详细的数学证明，以正式保证在正质量的情况下存在地球不完整的奇异性。其次，我们讨论了定理在负质量案例中使用的数学工具的适用性。还展示了这种定理对后一种情况的有效性或不一致的物理意义。就这种分析而言，对未来研究产生了一些线索，这可能会导致裸奇异点的一般特性。
We present a review of the two prominent singularity theorems due to Penrose and Hawking, as well as their physical interpretation. Their usage is discussed in detail for the Schwarzschild spacetime with positive and negative mass. First, we present a detailed mathematical proof to formally guarantee the existence of a singularity of geodesic incompleteness for the case of positive mass. Second, we discuss the applicability of the mathematical tools used by the theorems in the negative mass case. The physical implications of the validity or inconsistency of the hypotheses of such theorems on the latter case, are also exhibited. As far as this analysis is concerned, some clues are produced regarding future research that could result in general properties for naked singularities.
