Geroch proved that there is a homeomorphism between any globally hyperbolic spacetime and a product of the real line with one of its Cauchy surfaces. Recently this was strengthened by Bernal and Sanchez to a diffeomorphism. The splitting makes it possible to define the Hamiltonian formalism and canonical quantization.
Graduate Student Geometry-Topology Seminar
Tuesday, April 7, 2015 - 4:30pm
Benjamin Albert
University of Pennsylvania