Global Foliations of Vacuum Spacetimes withT2Isometry |
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Institution: | 1. Department of Physics, Oakland University, Rochester, Michigan, 48309;2. Département de Mathématiques, Faculté des Sciences, Parc de Grandmont, F 37200, Tours, France;3. Department of Mathematics and Institute for Theoretical Science, University of Oregon, Eugene, Oregon, 97403;4. Department of Physics, Yale University, P.O. Box 208120, New Haven, Connecticut, 06520-8120 |
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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 aT2isometry group with two-dimensional spacelike orbits, acting onT3spacelike surfaces. |
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