Existence and Uniqueness
(BRUHAT-GEROCH)
Singularity Theorem (PENROSE)
Global Stability of Minkowski (CHRISTODOULOU-KLAINERMAN)
Any (_, g, k) has a unique, future, Maximal Cauchy Development (MCD). It may not be geodesically complete.
The future MCD of an initial data set (_, g, k ) which admits a trapped surface is geodesically incomplete.
The MCD of an AF initial data set (_, g, k) which verifies a global smallness assumption is geodesically complete. Space-time becomes flat in all directions.
1 Cosmic Censorship in General Relativity
MAIN OPEN PROBLEMS
Known Results
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