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Zbl 1200.35303
Loizelet, Julien
Global solutions of the Einstein-Maxwell equations. (Solutions globales des équations d'Einstein-Maxwell.) (French)
[J] Ann. Fac. Sci. Toulouse, Math. (6) 18, No. 3, 565-610 (2009). ISSN 0240-2963

This paper gives a global existence result for the Einstein-Maxwell system with small, asymptotically flat data, in $n$ space dimensions with $n\geq 3$, using harmonic coordinates and the Lorentz gauge. The initial vector potential is ${\cal O}(r^{(1-n)/2-\alpha})$ for some $\alpha>0$, where $r$ is a radial coordinate. The methods rely heavily on those in a preprint by {\it H. Lindblad} and {\it I. Rodnianski} [arXiv:math/0411109] and in their article [Commun. Math. Phys. 256, No. 1, 43--110 (2005; Zbl 1081.83003)].
[Satyanad Kichenassamy (Reims)]

MSC 2000:: *35Q76
83C22 Electromagnetic fields, Einstein-Maxwell equations
35A01

Keywords: Einstein-Maxwell system; asymptotical flatness; harmonic coordinates; Lorentz gauge

Citations: Zbl 1081.83003

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