paper

Global Foliations of Vacuum Spacetimes with Isometry

arXiv:gr-qc/9702007 · doi:10.1006/aphy.1997.5707

Abstract

We prove a global existence theorem (with respect to a geometrically- defined time) for globally hyperbolic solutions of the vacuum Einstein equations which admit a isometry group with two-dimensional spacelike orbits, acting on spacelike surfaces.

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