Choquet-Bruhat's strong cosmic censorship conjecture

Let $(\Sigma,\leftidx{^\Sigma}{\mathbf{g}}{},\leftidx{^\Sigma}{\mathbf{K}}{},\mu,J)$ be generic asymptotically flat initial data, and let $(M,\mathbf{g})$ be its maximal globally hyperbolic development (MGHD). An MGHD is inextendible when it admits no extension as a suitably regular Lorentzian manifold. Choquet-Bruhat's strong cosmic censorship conjecture. The MGHD of generic asymptotically flat initial data is inextendible as a suitably regular Lorentzian manifold. This is the second standard formulation of cosmic censorship and concerns the breakdown of deterministic evolution beyond the maximal globally hyperbolic region. Its general validity remains open.