Topological censorship

The topological censorship theorem (if valid) states that general relativity does not allow an observer to probe the topology of spacetime: any topological structure collapses too quickly to allow light to traverse it. More precisely, in a globally hyperbolic, asymptotically flat spacetime satisfying the null energy condition, every causal curve from past null infinity to future null infinity is fixed-endpoint homotopic to a curve in a topologically trivial neighbourhood of infinity.

A 2013 paper by Sergey Krasnikov claims that the topological censorship theorem was not proven in the original article because of a gap in the proof.[1]

References

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  1. ^ S.V. Krasnikov (2013). ""Topological Censorship" is not proven". Gravitation and Cosmology. 19 (1): 54. Bibcode:2013GrCo...19...54K. doi:10.1134/S0202289313010064. S2CID 121787573.