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Hyperbolic & Dispersive PDE Seminar

Lile He -- The linear stability of weakly charged and slowly rotating Kerr-Newman family of charged black holes

Lile He (Princeton University)

Location:  Hill 705
Date & time: Tuesday, 19 March 2024 at 1:40PM - 2:40PM

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. 

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