Construction of Cauchy data of vacuum Einstein field equations evolving to black holes

Junbin Li Sun Yat-sen University Pin Yu Tsinghua University

Differential Geometry mathscidoc:1608.10013

Distinguished Paper Award in 2017

Annals of Mathematics, 181, 2016.2
We show the existence of complete, asymptotically flat Cauchy initial data for the vacuum Einstein field equations, free of trapped surfaces, whose future development must admit a trapped surface. Moreover, the datum is exactly a constant time slice in Minkowski space-time inside and exactly a constant time slice in Kerr space-time outside. The proof makes use of the full strength of Christodoulou’s work on the dynamical formation of black holes and Corvino-Schoen’s work on the construction of initial data sets.
black holes,
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@inproceedings{junbin2016construction,
  title={Construction of Cauchy data of vacuum Einstein field equations evolving to black holes},
  author={Junbin Li, and Pin Yu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160817222425082783222},
  booktitle={Annals of Mathematics},
  volume={181},
  year={2016},
}
Junbin Li, and Pin Yu. Construction of Cauchy data of vacuum Einstein field equations evolving to black holes. 2016. Vol. 181. In Annals of Mathematics. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160817222425082783222.
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