## Axially Symmetric Solution of the Teukolsky System in Very Slowly Rotating and Strongly Charged Sub-Extremal Kerr-Newman Spacetime

Talk, [Oberseminar Topics in General Relativity](https://www.uni-muenster.de/FB10/Service/show_article.shtml?id=10138&brettid=48), Muenster Univerity

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. This is based on a joint work with Elena Giorgi. References: [(Joint with Elena Giorgi) Boundedness and Decay for the Teukolsky System in Kerr-Newman Spacetime II: The Case |a| « M, |Q| < M in Axial Symmetry, arXiv preprint arXiv:2407.10750 (2024)]