Geodesic
The global stability of Minkowski space-time in harmonic gauge
Hans Lindblad1 ; Igor Rodnianski2
1 University of California, San Diego<br/>Department of Mathematics<br/>La Jolla CA 92093-0112<br/>United States
2 Princeton University<br/>Department of Mathematics<br/>Fine Hall–Washington Road<br/>Princeton NJ 08544<br/>United States
Annals of mathematics, Tome 171 (2010) no. 3, pp. 1401-1477.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We give a new proof of the global stability of Minkowski space originally established in the vacuum case by Christodoulou and Klainerman. The new approach, which relies on the classical harmonic gauge, shows that the Einstein-vacuum and the Einstein-scalar field equations with asymptotically flat initial data satisfying a global smallness condition produce global (causally geodesically complete) solutions asymptotically convergent to the Minkowski space-time.
DOI : 10.4007/annals.2010.171.1401

Hans Lindblad 1 ; Igor Rodnianski 2

1 University of California, San Diego<br/>Department of Mathematics<br/>La Jolla CA 92093-0112<br/>United States
2 Princeton University<br/>Department of Mathematics<br/>Fine Hall–Washington Road<br/>Princeton NJ 08544<br/>United States 
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Hans Lindblad; Igor Rodnianski. The global stability of Minkowski space-time in harmonic gauge. Annals of mathematics, Tome 171 (2010) no. 3, pp. 1401-1477. doi : 10.4007/annals.2010.171.1401. http://geodesic.mathdoc.fr/articles/10.4007/annals.2010.171.1401/

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