Choquet-Bruhat's weak cosmic censorship conjecture

Let (Σ,\leftidxΣg,\leftidxΣK,μ,J)(\Sigma,\leftidx{^\Sigma}{\mathbf{g}}{},\leftidx{^\Sigma}{\mathbf{K}}{},\mu,J) be generic asymptotically flat initial data, and let (M,g)(M,\mathbf{g}) be its maximal globally hyperbolic development (MGHD). A future null infinity I+\mathscr{I}^+ is complete when its null geodesic generators are complete with respect to the conformal metric of the maximal development. Choquet-Bruhat's weak cosmic censorship conjecture. The MGHD (M,g)(M,\mathbf{g}) of generic asymptotically flat initial data possesses a complete future null infinity I+\mathscr{I}^+. This is one of the two standard formulations of cosmic censorship and is intended to exclude naked singularities visible from infinity. Its general validity remains open.

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Primary source

Kharanshu N. Solanki, Karim Mosani, Omkar Deshpande and Pankaj S. Joshi, “Tipler Naked Singularities in N Dimensions”, arXiv:2404.02940 (2025).

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