Topological censorship from the initial data point of view

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Topological censorship.

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, asymptoticall...

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ژورنال

عنوان ژورنال: Journal of Differential Geometry

سال: 2013

ISSN: 0022-040X

DOI: 10.4310/jdg/1381931733