Gravitation and Cosmology

, Volume 19, Issue 1, pp 54–56

“Topological Censorship” is not proven


    • Central Astronomical Observatory at Pulkovo

DOI: 10.1134/S0202289313010064

Cite this article as:
Krasnikov, S.V. Gravit. Cosmol. (2013) 19: 54. doi:10.1134/S0202289313010064


I show that there is a significant lacuna in the proof of the theorem known as “Topological Censorship” (a theorem forbidding a solution of Einstein’s equations to have some topological features, such as traversable wormholes, without violating the averaged null energy condition). To fill the lacuna one would probably have to revise the class of spacetimes for which the theorem is formulated.

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© Pleiades Publishing, Ltd. 2013