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“Topological Censorship” is not proven

Abstract

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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Correspondence to S. V. Krasnikov.

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Krasnikov, S.V. “Topological Censorship” is not proven. Gravit. Cosmol. 19, 54–56 (2013). https://doi.org/10.1134/S0202289313010064

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  • DOI: https://doi.org/10.1134/S0202289313010064

Keywords

  • Null Geodesic
  • Null Energy Condition
  • Weak Energy Condition
  • Traversable Wormhole
  • Simple Space