Adapting a method of Lindblad and Rodnianski, we prove existence of global solutions for the Einstein-Maxwell equations in space dimension . We consider small enough smooth and asymptotically flat initial data. We use harmonic gauge and Lorenz gauge.
En adaptant une méthode de Lindblad et Rodnianski, on prouve l’existence de solutions globales pour les équations d’Einstein-Maxwell en dimension d’espace . Les données initiales considérées sont lisses, asymptotiquement euclidiennes et suffisamment petites. On utilise la jauge harmonique et la jauge de Lorenz.
@article{AFST_2009_6_18_3_495_0,
author = {Julien Loizelet},
title = {Solutions globales des \'equations {d{\textquoteright}Einstein-Maxwell}},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {495--540},
publisher = {Universit\'e Paul Sabatier, Institut de Math\'ematiques},
address = {Toulouse},
volume = {6e s{\'e}rie, 18},
number = {3},
year = {2009},
doi = {10.5802/afst.1212},
mrnumber = {2582443},
zbl = {1200.35303},
language = {fr},
url = {https://afst.centre-mersenne.org/articles/10.5802/afst.1212/}
}
TY - JOUR AU - Julien Loizelet TI - Solutions globales des équations d’Einstein-Maxwell JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 2009 SP - 495 EP - 540 VL - 18 IS - 3 PB - Université Paul Sabatier, Institut de Mathématiques PP - Toulouse UR - https://afst.centre-mersenne.org/articles/10.5802/afst.1212/ DO - 10.5802/afst.1212 LA - fr ID - AFST_2009_6_18_3_495_0 ER -
%0 Journal Article %A Julien Loizelet %T Solutions globales des équations d’Einstein-Maxwell %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 2009 %P 495-540 %V 18 %N 3 %I Université Paul Sabatier, Institut de Mathématiques %C Toulouse %U https://afst.centre-mersenne.org/articles/10.5802/afst.1212/ %R 10.5802/afst.1212 %G fr %F AFST_2009_6_18_3_495_0
Julien Loizelet. Solutions globales des équations d’Einstein-Maxwell. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 18 (2009) no. 3, pp. 495-540. doi : 10.5802/afst.1212. https://afst.centre-mersenne.org/articles/10.5802/afst.1212/
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