Topological censorship
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The topological censorship theorem 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 timelike homotopic to a topologically trivial curve from past null to future null infinity.
[edit] References
- John L. Friedman, Kristin Schleich, and Donald M. Witt (1993). "Topological Censorship". Phys.Rev.Lett. 71: 1486-1489.
- Matt Visser (1995). Lorentzian Wormholes: From Einstein to Hawking. ISBN 1-56396-653-0.