Partial Differential Equations/Mathematical Physics
The weak null condition for Einstein's equations
[Condition nulle faible pour les équations d'Einstein]
Comptes Rendus. Mathématique, Tome 336 (2003) no. 11, pp. 901-906.

Nous montrons que les équations d'Einstein de la relativité générale exprimées en coordonnées des ondes satisfont une « condition de nullité faible ». Dans un futur article, nous utilisons ceci pour démontrer un résultat global d'existence pour des équations d'Einstein en coordonnées des ondes avec donnèes initiales petites.

We show that Einstein's equations of General Relativity expressed in wave coordinates satisfy a ‘weak null condition’. In a forthcoming article we will use this to prove a global existence result for Einstein's equations in wave coordinates with small initial data.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/S1631-073X(03)00231-0
Lindblad, Hans 1 ; Rodnianski, Igor 2

1 Department of Mathematics, University of California, San Diego, La Jolla, CA, USA
2 Department of Mathematics, Princeton University, Princeton, NJ, USA
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Lindblad, Hans; Rodnianski, Igor. The weak null condition for Einstein's equations. Comptes Rendus. Mathématique, Tome 336 (2003) no. 11, pp. 901-906. doi : 10.1016/S1631-073X(03)00231-0. http://archive.numdam.org/articles/10.1016/S1631-073X(03)00231-0/

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