Reports boundedness and decay for the Teukolsky system in Kerr-Newman black holes, suggesting insights into its behavior.
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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Giorgi et al. (2026) studied this question.
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