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It has been proved only under strong symmetry assumptions.","posed_since":"1969","precise":"For generic asymptotically flat initial data for the 3+1 vacuum Einstein equations (or Einstein equations with physically reasonable matter), prove that the maximal globally hyperbolic development has a complete future null infinity. An answer is a proof, or a counterexample that persists under an open set of perturbations of the data.","problem_ref":null,"references":"","settled_by":"A proof of completeness of future null infinity for generic asymptotically flat vacuum data, or a stable counterexample.","status_note":"Proved for spherically symmetric Einstein-scalar collapse (Christodoulou 1999); non-generic naked singularities exist for vacuum (Rodnianski and Shlapentokh-Rothman 2019); the generic 4D vacuum case is open as of 2026.","title":"Prove weak cosmic censorship for generic 4D vacuum gravitational 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