Weak cosmic censorship conjecture

Let asymptotically flat initial data for Einstein's field equations be given, and let its maximal development be the corresponding spacetime. A future null infinity I+\mathcal{I}^+ is complete if it is complete as a null hypersurface; a singularity is hidden from I+\mathcal{I}^+ when it lies in a black-hole region causally disconnected from I+\mathcal{I}^+. Weak cosmic censorship conjecture. For generic asymptotically flat initial data, the maximal development of Einstein's field equations possesses a complete future null infinity I+\mathcal{I}^+ and hides the possibly formed singularities in a black-hole region causally disconnected from I+\mathcal{I}^+. This is one of the greatest open problems in classical general relativity and concerns whether singularities arising from generic gravitational data can be observed from infinity.

Sources & referencesView supporting material

Primary source

Xinliang An, “Naked Singularity Censoring with Anisotropic Apparent Horizon”, arXiv:2401.02003 (2024).

Additional references

5 papers in this index state this conjecture (2003–2024). The statement above is taken from the most recent of them; the others are arXiv:2210.11325, arXiv:1909.07345, arXiv:1107.0949, arXiv:gr-qc/0309115.

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