渐近双曲条几何不等式的约化变元
Reduction Arguments for Geometric Inequalities Associated With Asymptotically Hyperboloidal Slices
摘要：
本文考虑了广义相对论中的几个几何不等式，其中涉及到质量、面积、电荷和角动量等参数。我们展示了如何减少每一个已知的最大（或时间对称）的情况下，在渐近平坦的设置，每当一个几何激励系统的椭圆方程承认一个解决方案。
英文摘要：
We consider several geometric inequalities in general relativity involving mass, area, charge, and angular momentum for asymptotically hyperboloidal initial data. We show how to reduce each one to the known maximal (or time symmetric) case in the asymptotically flat setting, whenever a geometrically motivated system of elliptic equations admits a solution.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
