Hidden symmetries and decay for the wave equation on the Kerr spacetime
Hidden symmetries and decay for the wave equation on the Kerr spacetime
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DOI：
10.4007/annals.2015.182.3.1
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发表时间：
2015-11-01
影响因子：
4.9
通讯作者：
Blue, Pieter
中科院分区：
文献类型：
--
作者：
Andersson, Lars;Blue, Pieter
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概括的矢量场方法，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。
Energy and decay estimates for the wave equation on the exterior region of slowly rotating Kerr spacetimes are proved. The method used is a generalisation of the vector-field method that 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.