Boundedness and Decay for the Teukolsky System in Kerr-Newman Spacetime II: The Case |a| M, |Q| <M in Axial Symmetry
Abstract
We establish boundedness and polynomial decay results for the Teukolsky system in the exterior spacetime of very slowly rotating and strongly charged sub-extremal Kerr-Newman black holes, with a focus on axially symmetric solutions. The key step in achieving these results is deriving a physical-space Morawetz estimate for the associated generalized Regge-Wheeler system, without relying on spherical harmonic decomposition.
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