Comptes Rendus
no. 11
Partial Differential Equations/Mathematical Physics
The weak null condition for Einstein's equations
[Condition nulle faible pour les équations d'Einstein]

Présenté par : Yvonne Choquet-Bruhat

Hans Lindblad1 ; Igor Rodnianski2
1 Department of Mathematics, University of California, San Diego, La Jolla, CA, USA
2 Department of Mathematics, Princeton University, Princeton, NJ, USA
Comptes Rendus. Mathématique, Volume 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
Hans Lindblad 1 ; Igor Rodnianski 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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Hans Lindblad; Igor Rodnianski. The weak null condition for Einstein's equations. Comptes Rendus. Mathématique, Volume 336 (2003) no. 11, pp. 901-906. doi : 10.1016/S1631-073X(03)00231-0. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(03)00231-0/

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