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

  • Berger, B K
  • Isenberg, J
  • Chrúsciel, P T
  • Moncrief, V
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Publication date
January 1997

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

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