Penrose's weak cosmic censorship conjecture

From papers

Let (M,g)(\mathcal{M},g) be a 3+13+1-dimensional Lorentzian spacetime solving the Einstein field equations, arising as the maximal future development of generic, regular, asymptotically flat initial data. A future null infinity is complete when its null generators have infinite affine length. Weak cosmic censorship conjecture. The maximal future development possesses a complete future null infinity. This conjecture asserts that singularities arising from generic regular asymptotically flat data are hidden from distant observers; its resolution remains open in general, although important results are known in symmetry-reduced and other special settings.

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Sources & referencesView supporting material

Primary source

Xinliang An and Shengrong Wu, “Naked Singularities beyond Spherical Symmetry: Singular Inner Cauchy Horizons for the Einstein-Scalar Field System”, arXiv:2607.07134 (2026).

Additional references

18 papers in this index state this conjecture (2002–2026). The statement above is taken from the most recent of them; the others are arXiv:2603.17911, arXiv:2412.17927, arXiv:2409.02670, arXiv:2304.04444, arXiv:2204.09891, arXiv:2201.12294, arXiv:2201.12295, arXiv:2105.04604, arXiv:1909.07355, arXiv:1812.06142, arXiv:1807.08306, arXiv:1710.01722, and 5 more.

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