Geodesic
Stability and instability of the Cauchy horizon for the spherically symmetric Einstein-Maxwell-scalar field equations
Mihalis Dafermos1
1 Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, United States
Annals of mathematics, Tome 158 (2003) no. 3, pp. 875-928.

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

This paper considers a trapped characteristic initial value problem for the spherically symmetric Einstein-Maxwell-scalar field equations. For an open set of initial data whose closure contains in particular Reissner-Nordström data, the future boundary of the maximal domain of development is found to be a light-like surface along which the curvature blows up, and yet the metric can be continuously extended beyond it. This result is related to the strong cosmic censorship conjecture of Roger Penrose.
DOI : 10.4007/annals.2003.158.875

Mihalis Dafermos 1

1 Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, United States 
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Mihalis Dafermos. Stability and instability of the Cauchy horizon for the spherically symmetric Einstein-Maxwell-scalar field equations. Annals of mathematics, Tome 158 (2003) no. 3, pp. 875-928. doi : 10.4007/annals.2003.158.875. http://geodesic.mathdoc.fr/articles/10.4007/annals.2003.158.875/

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