Geodesic
Construction of Cauchy data of vacuum Einstein field equations evolving to black holes
Junbin Li1 ; Pin Yu2
1 Department of Mathematics, Sun Yat-sen University Guangzhou, China
2 Mathematical Sciences Center, Tsinghua University Beijing, China
Annals of mathematics, Tome 181 (2015) no. 2, pp. 699-768.

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

We show the existence of complete, asymptotically flat Cauchy initial data for the vacuum Einstein field equations, free of trapped surfaces, whose future development must admit a trapped surface. Moreover, the datum is exactly a constant time slice in Minkowski space-time inside and exactly a constant time slice in Kerr space-time outside.
The proof makes use of the full strength of Christodoulou’s work on the dynamical formation of black holes and Corvino-Schoen’s work on the construction of initial data sets.
DOI : 10.4007/annals.2015.181.2.6

Junbin Li 1 ; Pin Yu 2

1 Department of Mathematics, Sun Yat-sen University Guangzhou, China
2 Mathematical Sciences Center, Tsinghua University Beijing, China 
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Junbin Li; Pin Yu. Construction of Cauchy data of vacuum Einstein field equations evolving to black holes. Annals of mathematics, Tome 181 (2015) no. 2, pp. 699-768. doi : 10.4007/annals.2015.181.2.6. http://geodesic.mathdoc.fr/articles/10.4007/annals.2015.181.2.6/

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