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- W2048799461 abstract "All three-manifolds are known to occur as Cauchy surfaces of asymptotically flat vacuum spacetimes and of spacetimes with positive-energy sources. We prove here the conjecture 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 $scri^-$ to ${scri}^+$ is homotopic to a topologically trivial curve from $scri^-$ to ${scri}^+$. (If the Poincar'e conjecture is false, the theorem does not prevent one from probing fake 3-spheres)." @default.
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- W2048799461 date "1995-08-28" @default.
- W2048799461 modified "2023-10-03" @default.
- W2048799461 title "Topological Censorship[Phys. Rev. Lett. 71, 1486 (1993)]" @default.
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- W2048799461 doi "https://doi.org/10.1103/physrevlett.75.1872" @default.
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