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Organizers |
Smooth Cosmic Censorship
by
Vladimir Chernov
Dartmouth College
Coauthors: Stefan Nemirovski
It is observed that on many 4-manifolds there is a unique smooth structure underlying a globally hyperbolic Lorentz metric. For instance, every contractible smooth 4-manifold admitting a globally hyperbolic Lorentz metric is diffeomorphic to the standard R4. Similarly, a smooth 4-manifold homeomorphic to the product of a closed oriented 3-manifold N and R and admitting a globally hyperbolic Lorentz metric is in fact diffeomorphic to N×R. Thus one may speak of a censorship imposed by the global hyperbolicty assumption on the possible smooth structures on (3+1)-dimensional spacetimes.
Date received: January 31, 2012
Copyright © 2012 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbek-02.