Stefan Czimek

activity

20162022

most citedObstruction-free gluing for the Einstein equations

5 citations · 18 across the 7 of their papers we have counts for

collaborators

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4 papers · 1 filter

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 $H$ denote the future outgoing null hypersurface emanating from a spacelike 2-sphere $S$ in a vacuum spacetime $(M, g)$ . In this paper we study the…

math.AP2018★ 4 cited

The localised bounded $L^{2}$ -curvature theorem

Stefan Czimek

In this paper, we prove a localised version of the bounded $L^{2}$ -curvature theorem of Klainerman-Rodnianski-Szeftel. More precisely, we consider initial data for the Einstein vacuu…

math.AP2017★ 2 cited

Boundary harmonic coordinates on manifolds with boundary in low regularity

Stefan Czimek

In this paper, we prove the existence of $H^{2}$ -regular coordinates on Riemannian $3$ -manifolds with boundary, assuming only $L^{2}$ -bounds on the Ricci curvature, $L^{4}$ -bounds on the…

The spacelike-characteristic Cauchy problem of general relativity in low regularity

The canonical foliation on null hypersurfaces in low regularity

The localised bounded L2-curvature theorem

Boundary harmonic coordinates on manifolds with boundary in low regularity

The localised bounded $L^{2}$ -curvature theorem