C2C^2 Strong Cosmic Censorship conjecture for spherically symmetric collapse

Let the Einstein–Maxwell-charged-scalar-field system be given by equations

, and consider generic, one-ended, asymptotically flat, complete spherically symmetric initial data. Its Maximal Globally Hyperbolic Development is the maximal globally hyperbolic spacetime development of these initial data. C2C^2 Strong Cosmic Censorship conjecture. The Maximal Globally Hyperbolic Development is C2C^2-future-inextendible. This is a formulation of Strong Cosmic Censorship in spherical symmetry: no C2C^2 extension to the future should exist for generic collapse data. The conjecture remains open.

Sources & referencesView supporting material

Primary source

Maxime Van de Moortel, “Asymptotically flat black holes with a singular Cauchy horizon and a spacelike singularity”, arXiv:2510.07431 (2026).

Additional references

7 papers in this index state this conjecture (2016–2025). The statement above is taken from the most recent of them; the others are arXiv:2504.12370, arXiv:2501.13180, arXiv:2304.04444, arXiv:2001.11156, arXiv:1912.10890, arXiv:1612.06278.

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