Solutions globales des équations d’Einstein-Maxwell

Julien Loizelet[1]

  • [1] Laboratoire de Mathématiques et Physique Théorique (UMR CNRS 6083) Faculté des Sciences et Techniques, Université François Rabelais, Parc de Grandmont 37200 Tours, France

Annales de la faculté des sciences de Toulouse Mathématiques (2009)

  • Volume: 18, Issue: 3, page 495-540
  • ISSN: 0240-2963

Abstract

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Adapting a method of Lindblad and Rodnianski, we prove existence of global solutions for the Einstein-Maxwell equations in space dimension n ≥ 3 . We consider small enough smooth and asymptotically flat initial data. We use harmonic gauge and Lorenz gauge.

How to cite

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Loizelet, Julien. "Solutions globales des équations d’Einstein-Maxwell." Annales de la faculté des sciences de Toulouse Mathématiques 18.3 (2009): 495-540. <http://eudml.org/doc/10115>.

@article{Loizelet2009,
abstract = {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 $n\ge 3$. Les données initiales considérées sont lisses, asymptotiquement euclidiennes et suffisamment petites. On utilise la jauge harmonique et la jauge de Lorenz.},
affiliation = {Laboratoire de Mathématiques et Physique Théorique (UMR CNRS 6083) Faculté des Sciences et Techniques, Université François Rabelais, Parc de Grandmont 37200 Tours, France},
author = {Loizelet, Julien},
journal = {Annales de la faculté des sciences de Toulouse Mathématiques},
keywords = {Einstein-Maxwell system; asymptotical flatness; harmonic coordinates; Lorentz gauge},
language = {fre},
month = {7},
number = {3},
pages = {495-540},
publisher = {Université Paul Sabatier, Toulouse},
title = {Solutions globales des équations d’Einstein-Maxwell},
url = {http://eudml.org/doc/10115},
volume = {18},
year = {2009},
}

TY - JOUR
AU - Loizelet, Julien
TI - Solutions globales des équations d’Einstein-Maxwell
JO - Annales de la faculté des sciences de Toulouse Mathématiques
DA - 2009/7//
PB - Université Paul Sabatier, Toulouse
VL - 18
IS - 3
SP - 495
EP - 540
AB - 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 $n\ge 3$. Les données initiales considérées sont lisses, asymptotiquement euclidiennes et suffisamment petites. On utilise la jauge harmonique et la jauge de Lorenz.
LA - fre
KW - Einstein-Maxwell system; asymptotical flatness; harmonic coordinates; Lorentz gauge
UR - http://eudml.org/doc/10115
ER -

References

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