Schinnerl Benedict, Steinbauer Roland
Faculty of Mathematics, University of Vienna, Oskar-Morgenstern-Platz 1, 1090 Wien, Austria.
Lett Math Phys. 2021;111(6):142. doi: 10.1007/s11005-021-01481-3. Epub 2021 Nov 18.
We prove a Gannon-Lee theorem for non-globally hyperbolic Lorentzian metrics of regularity , the most general regularity class currently available in the context of the classical singularity theorems. Along the way, we also prove that any maximizing causal curve in a -spacetime is a geodesic and hence of -regularity.
我们为正则性为 的非全局双曲洛伦兹度量证明了一个甘农 - 李定理，这是当前在经典奇点定理背景下可得到的最一般的正则性类别。在此过程中，我们还证明了在 - 时空中的任何最大化因果曲线都是测地线，因此具有 - 正则性。
