Global Foliations of Vacuum Spacetimes with $T^2$ Isometry

Beverly K. Berger; James Isenberg; Piotr T. Chru\'sciel; Vincent Moncrief

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Global Foliations of Vacuum Spacetimes with T² Isometry

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arxiv gr-qc/9702007 v1 pith:FVAMKWN4 submitted 1997-02-03 gr-qc

Global Foliations of Vacuum Spacetimes with T² Isometry

Beverly K. Berger , James Isenberg , Piotr T. Chru\'sciel , Vincent Moncrief This is my paper

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keywords globalisometryspacelikevacuumactingadmitdefinedeinstein

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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 $T^2$ isometry group with two-dimensional spacelike orbits, acting on $T^3$ spacelike surfaces.

Global Foliations of Vacuum Spacetimes with T² Isometry

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