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math.AP2019★ 1 cited
The spacelike-characteristic Cauchy problem of general relativity in low regularity
Stefan Czimek, Olivier Graf
In this paper we study the spacelike-characteristic Cauchy problem for the Einstein vacuum equations. We prove that given initial data on a maximal compact spacelike hypersurface $…
math.AP2019
The canonical foliation on null hypersurfaces in low regularity
Stefan Czimek, Olivier Graf
Let denote the future outgoing null hypersurface emanating from a spacelike 2-sphere in a vacuum spacetime . In this paper we study the…