扭转局域旋转对称II类时空中连接面的协变分布方法
A Covariant Distributional Approach for Junctions in Torsional Locally Rotationally Symmetric Class II Spacetimes
中文总结 AI 辅助
该研究提出一种坐标无关的协变分布框架，用于研究扭转局域旋转对称II类时空中的连接面，推导了拼接流形可微性条件，规避了依赖坐标的Israel-Darmois框架的缺陷。
中文摘要 AI 辅助
本文提出了一种以坐标无关方式一致研究连接面的严格框架，该框架通过扩展带扭转的弯曲时空中的分布理论并结合协变形式实现。由此可推导拼接流形可微性的一般条件，针对特定引力理论（尤其是Einstein-Cartan-Sciama-Kibble理论），本文评估了获得光滑连接面的条件，这些条件可独立于描述度规的坐标选择成功应用，从而规避了依赖坐标的Israel-Darmois框架的缺陷。
英文摘要
A rigorous framework for consistent study of junctions in a coordinate independent manner is presented. This is achieved by extending a theory of distributions in curved spacetimes with torsion and combining it with covariant formalism. In this way, one can derive general conditions on the differentiability of the joined manifold. Given a specific theory of gravity, in particular the Einstein-Cartan-Sciama-Kibble one, we evaluate the conditions for obtaining a smooth junction. These conditions can be successfully applied independently of the choice of coordinates used to describe the metric, thereby, evading the drawbacks of coordinate dependent Israel-Darmois framework.
