“Topological Censorship” is not proven
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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- 2.R. Geroch and G. T. Horowitz. In: S. W. Hawking and W. Israel (eds.), General Relativity, an Einstein Centenary Survey (Cambridge Univ. Press, New York, 1979), p. 212.Google Scholar
- 8.P. T. Chruściel, G. J. Galloway, and D. Solis, Topological Censorship for Kaluza-Klein Space-Times, Arxiv: 0808.3233.Google Scholar
- 9.P. T. Chruściel, private communication.Google Scholar