Abstract
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].
Funding Statement
The authors are partially supported by NSFC 11521101. The first author is also partially supported by NSFC 11501582.
Citation
Junbin Li. Xi-Ping Zhu. "On the local extension of the future null infinity." J. Differential Geom. 110 (1) 73 - 133, September 2018. https://doi.org/10.4310/jdg/1536285627