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- W4230487960 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 ${mathit{scrI}}^{mathrm{ensuremath{-}}}$ to ${mathit{scrI}}^{+}$ is homotopic to a topologically trivial curve from ${mathit{scrI}}^{mathrm{ensuremath{-}}}$ to ${mathit{scrI}}^{+}$." @default.
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- W4230487960 date "1993-09-06" @default.
- W4230487960 modified "2023-10-18" @default.
- W4230487960 title "Topological censorship" @default.
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- W4230487960 doi "https://doi.org/10.1103/physrevlett.71.1486" @default.
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