3 papers
math.AP2020
Global nonlinear stability of Minkowski space for spacelike-characteristic initial data
Olivier Graf
In this paper, we prove the global nonlinear stability of Minkowski space in the context of the spacelike-characteristic Cauchy problem for Einstein vacuum equations. Spacelike-cha…
math.AP2019
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…