The Linear Stability of Weakly Charged and Slowly Rotating Kerr-Newman Family of Charged Black Holes
发布时间：2024年06月21日
浏览次数：672
发布者: He Liu
主讲人： Lili He(Princeton University)
活动时间： 从 2024-06-24 16:15 到 17:15
场地： 智华楼四元厅
I will discuss the linear stability of weakly charged and slowly rotating Kerr-Newman black holes under coupled gravitational and electromagnetic perturbations. We show that the solutions to the linearized Einstein-Maxwell equations decay at an inverse polynomial rate to a linearized Kerr-Newman solution plus a pure gauge term. The proof uses tools from microlocal analysis and a detailed description of the resolvent of the Fourier transformed linearized Einstein-Maxwell operator at low frequencies.
