The HADES seminar on Wednesday, 4 September, will be at 3:30pm in Evans 736. (Note the unusual space and time)

Speaker: Jingbo Wan (Columbia)

Abstract: We establish boundedness and polynomial decay results for the Teukolsky system in the exterior spacetime of slowly rotating and strongly charged sub-extremal Kerr-Newman black holes, with a focus on axially symmetric solutions. The key step is deriving a physical-space Morawetz estimate for the associated generalized Regge-Wheeler system, without relying on spherical harmonic decomposition. The estimate is potentially useful for linear stability of Kerr-Newman under axisymmetric perturbation and nonlinear stability of Reissner-Nordstrom without any symmetric assumptions. This is based on a joint work with Elena Giorgi.