孤立视界的邻域及其平稳性
Neighbourhoods of Isolated Horizons and their stationarity
摘要：
通过视界的几何不变量，在任意维非膨胀视界的时空邻域中定义了一个特殊的（不变的）类Bondi坐标系。使用它，径向扩展的时空度规的地平线上提供和自由数据需要指定它到给定的顺序确定时空维度$4$。对于$4$维时空中的电真空视界，将Killing场在其邻域存在的充要条件确定为视界数据和零面数据的微分条件.
英文摘要：
A distinguished (invariant) Bondi-like coordinate system is defined in the spacetime neighbourhood of a non-expanding horizon of arbitrary dimension via geometry invariants of the horizon. With its use, the radial expansion of a spacetime metric about the horizon is provided and the free data needed to specify it up to given order are determined in spacetime dimension $4$. For the case of an electro-vacuum horizon in $4$-dimensional spacetime the necessary and sufficient conditions for the existence of a Killing field at its neighbourhood are identified as differential conditions on the horizon data and data on null surface transversal to the horizon.
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。
