论文标题
Kerr稳定性的一般形式主义
A general formalism for the stability of Kerr
论文作者
论文摘要
本文的目的是提供一个几何框架，以分析在KERR扰动的完全非线性设置中，溶液对Teukolsky方程的均匀衰减特性。它包含在\ cite {d-h-r-kerr}中的线性化设置中引入的chandrasekhar变换的第一个非线性版本和\ cite {ma}，目的是在我们正在进行的项目中使用它，以证明慢慢旋转的Kerr作为Einstein actecein acoreqeation的解决方案。
The goal of this paper is to provide a geometric framework for analyzing the uniform decay properties of solutions to the Teukolsky equation in the fully nonlinear setting of perturbations of Kerr. It contains the first nonlinear version of the Chandrasekhar transformation introduced in the linearized setting in \cite{D-H-R-Kerr} and \cite{Ma} with the intent to use it in our ongoing project to prove the full nonlinear stability of slowly rotating Kerr as solution to the Einstein vacuum equations.
