Causal Geometry of Einstein-Vacuum Spacetimes with Finite Curvature Flux
Klainerman, Sergiu ; Rodnianski, Igor
arXiv, 0308123 / Harvested from arXiv
Text on arXiv
One of the central difficulties of settling the $L^2$-bounded curvature conjecture for the Einstein -Vacuum equations is to be able to control the causal structure of spacetimes with such limited regularity. In this paper we show how to circumvent this difficulty by showing that the geometry of null hypersurfaces of Enstein-Vacuum spacetimes can be controlled in terms of initial data and the total curvature flux through the hypersurface.
Publié le : 2003-08-13
Classification:  Mathematics - Analysis of PDEs,  General Relativity and Quantum Cosmology,  Mathematical Physics,  Mathematics - Differential Geometry 
@article{0308123,
     author = {Klainerman, Sergiu and Rodnianski, Igor},
     title = {Causal Geometry of Einstein-Vacuum Spacetimes with Finite Curvature Flux},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0308123}
}

Klainerman, Sergiu; Rodnianski, Igor. Causal Geometry of Einstein-Vacuum Spacetimes with Finite Curvature Flux. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0308123/