论文标题
在线性重力扰动下，Kerr Cauchy Horizon的不稳定性
Instability of the Kerr Cauchy horizon under linearised gravitational perturbations
论文作者
论文摘要
本文为线性化真空爱因斯坦方程的亚超级Kerr Cauchy Horizon的蓝移不稳定性建立了数学证明。更确切地说，我们在$ s =+2 $ teukolsky田地上表现出条件，由沿事件地平线的衰减上的合适的上和下限组成，以确保Teukolsky Field相对于在Cauchy Horizon处于常规的框架而言，这是单一的。由于最近由MA和Zhang的最新工作[51]而逐渐旋转Kerr，因此特别是由Teukolsky方程的溶液来满足条件。
This paper establishes a mathematical proof of the blue-shift instability at the sub-extremal Kerr Cauchy horizon for the linearised vacuum Einstein equations. More precisely, we exhibit conditions on the $s=+2$ Teukolsky field, consisting of suitable integrated upper and lower bounds on the decay along the event horizon, that ensure that the Teukolsky field, with respect to a frame that is regular at the Cauchy horizon, becomes singular. The conditions are in particular satisfied by solutions of the Teukolsky equation arising from generic and compactly supported initial data by the recent work [51] of Ma and Zhang for slowly rotating Kerr.
