标题： Kerr扰动中未来事件视界的正则性 显示英文标题

标题： Regularity of the Future Event Horizon in Perturbations of Kerr

摘要： 本文的目标是证明在\cite{KS}中构造的时空的事件视界，参见\cite{KS-Schw}，在证明缓慢旋转的克尔时空的非线性稳定性时，$\mathcal{K}(a_0,m_0)$，必定是光滑的光锥面。 此外，我们还证明了该结果对于可以建立稳定性的$|a_0|/m_0$的整个范围仍然成立。 显示英文摘要

摘要： The goal of the paper is to show that the event horizons of the spacetimes constructed in \cite{KS}, see also \cite{KS-Schw}, in the proof of the nonlinear stability of slowly rotating Kerr spacetimes $\mathcal{K}(a_0,m_0)$, are necessarily smooth null hypersurfaces. Moreover we show that the result remains true for the entire range of $|a_0|/m_0$ for which stability can be established.