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On the local extension of the future null infinity

Junbin Li Sun Yat-sen University Xiping Zhu Sun Yat-sen University

Differential Geometry mathscidoc:1911.43007

j. differential geometry, 110, 73-133, 2018
We consider a characteristic problem of the vacuum Einstein equations with part of the initial data given on a future asymptotically flat null cone, and show that the solution exists uniformly around the null cone for general such initial data. Therefore, the solution contains a piece of the future null infinity. The initial data are not required to be small and the decaying condition is consistent with those in the works of [8] and [11].
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@inproceedings{junbin2018on,
  title={On the local extension of the future null infinity},
  author={Junbin Li, and Xiping Zhu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191125132344885721514},
  booktitle={j. differential geometry},
  volume={110},
  pages={73-133},
  year={2018},
}
Junbin Li, and Xiping Zhu. On the local extension of the future null infinity. 2018. Vol. 110. In j. differential geometry. pp.73-133. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191125132344885721514.
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