This article is dedicated to solving the Einstein constraint equations with apparent horizon boundaries and freely specified mean curvature. The main novelty is that we study the conformal constraint equations assuming only low regularity
The extended constraint equations arise as a special case of the conformal constraint equations that...
The aim of this article is to construct initial data for the Einstein equations on manifolds of the ...
The aim of this article is to construct initial data for the Einstein equations on manifolds of the ...
In this dissertation, we prove a number of results regarding the conformal method of finding solutio...
We give a general survey of the solution of the Einstein constraints by the conformal method on n di...
In this thesis we consider the problem of determining solutions to the conformal formulation of the ...
One method of studying the asymptotic structure of spacetime is to apply Penrose's conformal rescali...
One method of studying the asymptotic structure of spacetime is to apply Penrose's conformal rescali...
17 pages, no figureInternational audienceIn this short note, we give a construction of solutions to ...
17 pages, no figureInternational audienceIn this short note, we give a construction of solutions to ...
We show that sets of conformal data on closed manifolds with the metric in the positive or zero Yama...
Proposition 1.6 changed, error in the proof of this result in the previous version of the articleInt...
Proposition 1.6 changed, error in the proof of this result in the previous version of the articleInt...
The conformal formulation provides a method for constructing and parametrizing solutions of the Eins...
Abstract. The Einstein constraint equations have been the subject of study for more than fifty years...
The extended constraint equations arise as a special case of the conformal constraint equations that...
The aim of this article is to construct initial data for the Einstein equations on manifolds of the ...
The aim of this article is to construct initial data for the Einstein equations on manifolds of the ...
In this dissertation, we prove a number of results regarding the conformal method of finding solutio...
We give a general survey of the solution of the Einstein constraints by the conformal method on n di...
In this thesis we consider the problem of determining solutions to the conformal formulation of the ...
One method of studying the asymptotic structure of spacetime is to apply Penrose's conformal rescali...
One method of studying the asymptotic structure of spacetime is to apply Penrose's conformal rescali...
17 pages, no figureInternational audienceIn this short note, we give a construction of solutions to ...
17 pages, no figureInternational audienceIn this short note, we give a construction of solutions to ...
We show that sets of conformal data on closed manifolds with the metric in the positive or zero Yama...
Proposition 1.6 changed, error in the proof of this result in the previous version of the articleInt...
Proposition 1.6 changed, error in the proof of this result in the previous version of the articleInt...
The conformal formulation provides a method for constructing and parametrizing solutions of the Eins...
Abstract. The Einstein constraint equations have been the subject of study for more than fifty years...
The extended constraint equations arise as a special case of the conformal constraint equations that...
The aim of this article is to construct initial data for the Einstein equations on manifolds of the ...
The aim of this article is to construct initial data for the Einstein equations on manifolds of the ...