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

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

1997-02-03

arxiv.org/abs/gr-qc/9702007v1

Annals Phys. 260 (1997) 117-148

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

38 pages, 0 figures, LaTeX

Scientific paper

10.1006/aphy.1997.5707

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.

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