[Condition nulle faible pour les équations d'Einstein]
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.
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@article{CRMATH_2003__336_11_901_0,
author = {Lindblad, Hans and Rodnianski, Igor},
title = {The weak null condition for {Einstein's} equations},
journal = {Comptes Rendus. Math\'ematique},
pages = {901--906},
publisher = {Elsevier},
volume = {336},
number = {11},
year = {2003},
doi = {10.1016/S1631-073X(03)00231-0},
language = {en},
url = {http://archive.numdam.org/articles/10.1016/S1631-073X(03)00231-0/}
}
TY - JOUR AU - Lindblad, Hans AU - Rodnianski, Igor TI - The weak null condition for Einstein's equations JO - Comptes Rendus. Mathématique PY - 2003 SP - 901 EP - 906 VL - 336 IS - 11 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/S1631-073X(03)00231-0/ DO - 10.1016/S1631-073X(03)00231-0 LA - en ID - CRMATH_2003__336_11_901_0 ER -
%0 Journal Article %A Lindblad, Hans %A Rodnianski, Igor %T The weak null condition for Einstein's equations %J Comptes Rendus. Mathématique %D 2003 %P 901-906 %V 336 %N 11 %I Elsevier %U http://archive.numdam.org/articles/10.1016/S1631-073X(03)00231-0/ %R 10.1016/S1631-073X(03)00231-0 %G en %F CRMATH_2003__336_11_901_0
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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