Original weak cosmic censorship conjecture for asymptotically flat vacuum spacetimes

Let (M,g)(\mathcal{M},g) be an asymptotically flat solution of the Einstein vacuum equations

Ric(g)=0.\operatorname{Ric}(g)=0.

An event horizon is the boundary separating the region from which observers can reach infinity from the region causally disconnected from infinity. Weak cosmic censorship conjecture, original version. For asymptotically flat solutions to the Einstein vacuum equations, singularities are always hidden behind an event horizon. This conjecture addresses the predictive power of general relativity by asserting that singularities arising in isolated self-gravitating systems cannot be visible to distant observers. The source gives no resolution status for the conjecture.

Sources & referencesView supporting material

Primary source

Igor Rodnianski and Yakov Shlapentokh-Rothman, “Naked Singularities for the Einstein Vacuum Equations: The Exterior Solution”, arXiv:1912.08478 (2022).

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