Non-linear Stability of the Kerr–Newman–de Sitter Family of Charged Black Holes

@article{Hintz2016NonlinearSO,
  title={Non-linear Stability of the Kerr–Newman–de Sitter Family of Charged Black Holes},
  author={P. Hintz},
  journal={Annals of PDE},
  year={2016},
  volume={4},
  pages={1-131}
}
  • P. Hintz
  • Published 2016
  • Mathematics, Physics
  • Annals of PDE
We prove the global non-linear stability, without symmetry assumptions, of slowly rotating charged black holes in de Sitter spacetimes in the context of the initial value problem for the Einstein–Maxwell equations: if one perturbs the initial data of a slowly rotating Kerr–Newman–de Sitter (KNdS) black hole, then in a neighborhood of the exterior region of the black hole, the metric and the electromagnetic field decay exponentially fast to their values for a possibly different member of the… Expand
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