On the existence of C ∞ solutions to the asymptotic characteristic initial value problem in general relativity
- 9 April 1996
- journal article
- Published by The Royal Society in Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
- Vol. 452 (1947) , 945-952
- https://doi.org/10.1098/rspa.1996.0047
Abstract
The asymptotic characteristic initial value problem for Einstein's vacuum field equations is treated. It is shown that C$^{\infty}$ solutions exist and are unique for C$^{\infty}$ initial values. The proof is based on Friedrich's regular conformal vacuum field equations and Rendall's method of reducing the characteristic to an ordinary initial value problem.Keywords
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