Boundedness and Decay for the Teukolsky System in Kerr-Newman Spacetime II: The Case \(|a| \ll M\), \(|Q| <M\) in Axial Symmetry

Boundedness and Decay for the Teukolsky System in Kerr-Newman Spacetime II: The Case \(|a| \ll M\), \(|Q| <M\) in Axial Symmetry

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-spac...

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Veröffentlicht in:arXiv.org 2024-07
Hauptverfasser: Giorgi, Elena, Wan, Jingbo
Format: Artikel
Sprache:eng
Schlagworte:
Decay
Polynomials
Spherical harmonics
Symmetry
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Zusammenfassung: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.
ISSN:2331-8422