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

Series
PDE Seminar
Time
Tuesday, March 7, 2023 - 3:00pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Lili He – Johns Hopkins University – lhe31@jhu.edu – https://math.jhu.edu/~lhe31/
Organizer
Gong Chen

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.