Geodesic
On the breakdown criterion in general relativity
Klainerman, Sergiu1 ; Rodnianski, Igor1
1 Department of Mathematics, Princeton University, Princeton, New Jersey 08544
Journal of the American Mathematical Society, Tome 23 (2010) no. 2, pp. 345-382

Voir la notice de l'article provenant de la source American Mathematical Society

We give a geometric criterion for the breakdown of an Einstein-vacuum space-time foliated by a constant mean curvature, or maximal, foliation. More precisely we show that the foliated space-time can be extended as long as the second fundamental form and the first derivatives of the logarithm of the lapse of the foliation remain uniformly bounded. We make no restrictions on the size of the initial data. The paper uses heavily the results of the authors’ previous papers.
DOI : 10.1090/S0894-0347-09-00655-9

Klainerman, Sergiu 1 ; Rodnianski, Igor 1

1 Department of Mathematics, Princeton University, Princeton, New Jersey 08544 
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Klainerman, Sergiu; Rodnianski, Igor. On the breakdown criterion in general relativity. Journal of the American Mathematical Society, Tome 23 (2010) no. 2, pp. 345-382. doi: 10.1090/S0894-0347-09-00655-9

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