Choquet-Bruhat's weak cosmic censorship conjecture

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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.

References

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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