Gravitation and Cosmology

, Volume 19, Issue 1, pp 54-56

First online:

“Topological Censorship” is not proven

  • S. V. KrasnikovAffiliated withCentral Astronomical Observatory at Pulkovo Email author 

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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.