The global non-linear stability of the Kerr-de Sitter family of black holes

@article{Hintz2016TheGN,
  title={The global non-linear stability of the Kerr-de Sitter family of black holes},
  author={P. Hintz and A. Vasy},
  journal={arXiv: Differential Geometry},
  year={2016}
}
  • P. Hintz, A. Vasy
  • Published 2016
  • Mathematics, Physics
  • arXiv: Differential Geometry
We establish the full global non-linear stability of the Kerr-de Sitter family of black holes, as solutions of the initial value problem for the Einstein vacuum equations with positive cosmological constant, for small angular momenta, and without any symmetry assumptions on the initial data. We achieve this by extending the linear and non-linear analysis on black hole spacetimes described in a sequence of earlier papers by the authors: We develop a general framework which enables us to deal… Expand
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