En adaptant une méthode de Lindblad et Rodnianski, on prouve l'existence de solutions globales pour les équations d'Einstein–Maxwell avec des données initiales
Adapting a method of Lindblad and Rodnianski, we prove existence of global solutions for the Einstein–Maxwell equations with small enough smooth and asymptotically flat initial data. We use harmonic gauge and Lorenz gauge.
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Julien Loizelet 1
@article{CRMATH_2006__342_7_479_0, author = {Julien Loizelet}, title = {Solutions globales des \'equations {d'Einstein{\textendash}Maxwell} avec jauge harmonique et jauge de {Lorenz}}, journal = {Comptes Rendus. Math\'ematique}, pages = {479--482}, publisher = {Elsevier}, volume = {342}, number = {7}, year = {2006}, doi = {10.1016/j.crma.2006.01.018}, language = {fr}, }
Julien Loizelet. Solutions globales des équations d'Einstein–Maxwell avec jauge harmonique et jauge de Lorenz. Comptes Rendus. Mathématique, Volume 342 (2006) no. 7, pp. 479-482. doi : 10.1016/j.crma.2006.01.018. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2006.01.018/
[1] H.Lindblad, I.Rodnianski, Global existence for the Einstein vacuum equations in wave coordinates, pré-publication, 2004
[2] H.Lindblad, I.Rodnianski, The global stability of Minkowski space–time in harmonic gauge, pré-publication, 2004
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