论文标题
未来零无限的准本地质量的总质量和限制
Total mass and limits of quasi-local mass at future null infinity
论文作者
论文摘要
天文事件的理想观察者位于未来的无效无穷大，从源方法发出的光线。从数学上讲，零无穷大对应于由无效测量学等效类别定义的时空边界的一部分。但是，我们可以在未来的零无限范围内观察到什么？在注释中，我们首先要根据Bondi-Sachs坐标系审查Null Infinity的描述。特别是，我们根据修改后的质量方面2形式重新制定并扩展了邦迪质量和质量损失公式的不变性。最后，我们讨论了有关邦迪 - 齐坐标系统中无元无穷大的单位球的准质量极限的新结果。这是基于与Po-Chen，Jordan Keller，Ye-Kai Wang和Shing-Tung Yau的联合合作。
An idealized observer of an astronomical event is situated at future null infinity, where light rays emitted from the source approach. Mathematically, null infinity corresponds to the portion of the spacetime boundary defined by equivalence classes of null geodesics. But what can we observe at future null infinity? In the note, we start by reviewing the description of null infinity in terms of the Bondi-Sachs coordinate system. In particular, we reformulate and extend the invariance of Bondi mass and the mass loss formula in terms of a modified mass aspect 2-form. At the end, we discuss new results about the limit of quasilocal mass of unit spheres at null infinity in a Bondi-Sachs coordinate system. This is based on joint work with Po-Ning Chen, Jordan Keller, Ye-Kai Wang, and Shing-Tung Yau.
