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Geometric Topology Seminar
August 8, 2012 12:00, Moscow, Steklov Mathematical Institute, room 534

Cosmic censorship of smooth structures and integer valued metrics on spacetimes

V. V. Chernov

We show that absence of time travel and naked singularities imposes strong restrictions on the smooth structure of a 4-dimensional spacetime. In particular every such contractible spacetime is diffeomorphic to the standard $R^4$. Also every such spacetime homeomorphic to $M\times R$ with $M$ closed oriented 3-manifold is diffeomorphic to $M\times R$.