5 citations · 18 across the 7 of their papers we have counts for
9 papers
Obstruction-free gluing for the Einstein equations
Stefan Czimek, Igor Rodnianski
In this paper we develop a new approach to the gluing problem in General Relativity, that is, the problem of matching two solutions of the Einstein equations along a spacelike or c…
Characteristic gluing to the Kerr family and application to spacelike gluing
Stefanos Aretakis, Stefan Czimek, Igor Rodnianski
This is the third paper in a series of papers adressing the characteristic gluing problem for the Einstein vacuum equations. We provide full details of our characteristic gluing (i…
The characteristic gluing problem for the Einstein vacuum equations. Linear and non-linear analysis
Stefanos Aretakis, Stefan Czimek, Igor Rodnianski
This is the second paper in a series of papers adressing the characteristic gluing problem for the Einstein vacuum equations. We solve the codimension- characteristic gluing pr…
The characteristic gluing problem for the Einstein equations and applications
Stefanos Aretakis, Stefan Czimek, Igor Rodnianski
In this paper we introduce the characteristic gluing problem for the Einstein vacuum equations. We present a codimension- gluing construction for characteristic initial data wh…
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 $…
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…
The localised bounded -curvature theorem
Stefan Czimek
In this paper, we prove a localised version of the bounded -curvature theorem of Klainerman-Rodnianski-Szeftel. More precisely, we consider initial data for the Einstein vacuu…
Boundary harmonic coordinates on manifolds with boundary in low regularity
Stefan Czimek
In this paper, we prove the existence of -regular coordinates on Riemannian -manifolds with boundary, assuming only -bounds on the Ricci curvature, -bounds on the…
An extension procedure for the constraint equations
Stefan Czimek
Let be a solution to the maximal constraint equations of general relativity on the unit ball of . We prove that if is suff…