论文标题
非不同的指标的等效性
Equivalence of Nondifferentiable Metrics
论文作者
论文摘要
我们研究了适用于Courant代数的cartan的方法，以一般相对论出现的非不同的指标。我们得出了与非不同的性能和指标排名不足的基因座自然相关的新的局部差异不变。作为一个应用程序，我们利用新范围的不变性来解决包含封闭时间般的时代大地测量的黑洞内部的因果关系问题。另外，一种无关类型的定理限制了引力崩溃的演化场景。
We study nondifferentiable metrics occuring in general relativity via the method of equivalence of Cartan adapted to the Courant algebroids. We derive new local differential invariants naturally associated with the loci of nondifferentiability and rank deficiency of the metric. As an application, we utilize the newfangled invariants to resolve the problem of causality in the interior of the black holes that contain closed timelike geodesics. Also, a no-go type theorem limits the evolution scenarios for gravitational collapse.
