On the existence of C infinity solutions to the asymptotic characteristic 
initial value problem in general relativity

Kannar, Janos

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On the existence of C infinity solutions to the asymptotic characteristic initial value problem in general relativity

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Kannar, Janos
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Kannar, J. (1996). On the existence of C infinity solutions to the asymptotic characteristic initial value problem in general relativity. Proceedings of the Royal Society of London Series A-Mathematical Physical and Engineering Sciences, 452, 945-952.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5B47-5

Abstract

The asymptotic characteristic initial value problem for Einstein's vacuum field equations is treated. It is shown that C-infinity solutions exist and are unique for C-infinity 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.