静态Einstein-Maxwell理论中的平均稳定面
Mean-stable surfaces in Static Einstein-Maxwell theory
摘要：
本文利用平均稳定曲面（包括稳定的极小曲面）理论研究静态Einstein-Maxwell时空。我们首先证明了失效函数的零点集必须包含在视界边界中。然后，我们探讨了它的一些含义，提供了一些结果，不存在稳定的极小曲面在内部的静电空间，受一定的初始边界数据。最后，我们证明了ADM质量是有界的霍金准局部质量。
英文摘要：
In this paper we use the theory of mean-stable surfaces (stable minimal surfaces included) to explore the static Einstein-Maxwell space-time. We first prove that the zero set of the lapse function must be contained in the horizon boundary. Then, we explore some implications of it providing some results of nonexistence of stable minimal surfaces in the interior of an electrostatic space, subject to a certain initial boundary data. We finish by proving that the ADM mass is bounded from above by the Hawking quasi-local mass.
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