The Bruhat-Geroch result can be extended to initial data sets (_, g, k) with R(g) _ L2 and _k _ L2 .
6. Finite L2 - Curvature Conjecture
Cosmic Censorship
RELATED OPEN PROBLEMS
(M,g) R__ -1/2 R g __= 0
Recent progress by Chemin-Bahouri,
Tataru, Klainerman-Rodnianski for quasilinear wave equations. Classical result requires
Strong connections with problems 5,7 and 8.
CONJECTURE
| Previous slide | Next slide | Back to first slide | View graphic version |