Kerr时空中wave equation的隐对称性和衰变
Hidden symmetries and decay for the wave equation on the Kerr spacetime
摘要：
证明了慢旋Kerr时空外部区域波动方程的能量和衰变估计。所使用的方法是一个推广的矢量场方法，它允许使用高阶对称算子。特别是，我们的方法利用二阶卡特算子，这是一个隐藏的对称性，在这个意义上，它不对应于一个Killing对称的时空。
英文摘要：
Energy and decay estimates for the wave equation on the exterior region of slowly rotating Kerr spacetimes are proved. The method used is a generalization of the vector-field method, which allows the use of higher-order symmetry operators. In particular, our method makes use of the second-order Carter operator, which is a hidden symmetry in the sense that it does not correspond to a Killing symmetry of the spacetime.
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