The weak null condition for Einstein's equations

Hans Lindblad; Igor Rodnianski

doi:10.1016/S1631-073X(03)00231-0

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 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

Comptes Rendus. Mathématique, Volume 336 (2003) no. 11, pp. 901-906.

Abstract (VO)
Résumé

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.

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.

Reçu le : 2003-03-15
Accepté le : 2003-04-01
Publié le : 2003-06-01

DOI : 10.1016/S1631-073X(03)00231-0

Affiliations des auteurs :

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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