On the Local Extension of the Future Null Infinity

Junbin Li; Xi-Ping Zhu

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arXiv · 1406.0048

On the Local Extension of the Future Null Infinity

Junbin Li·Xi-Ping Zhu

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Abstract

We consider a characteristic problem of the vacuum Einstein equations with part of the initial data given on a future complete null cone with suitable decay, and show that the solution exists uniformly around the null cone for general such initial data. We can then define a segment of the future null infinity. The initial data are not required to be small and the decaying condition inherits from the works of \cite{Ch-K} and \cite{K-N}.

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Junbin Li, Xi-Ping Zhu. 2014-05-31. On the Local Extension of the Future Null Infinity. https://arxiv.org/abs/1406.0048

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