Future Global in time einsteinian spacetimes with U(1) isometry group
Yvonne Choquet-Bruhat, Vincent Moncrief
Abstract
We prove that spacetimes satisfying the vacuum Einstein equations on a manifold of the form Σ× U(1)× R where Σ is a compact surface of genus G>1 and where the Cauchy data is invariant with respect to U(1) and sufficiently small exist for an infinite proper time in the expanding direction.
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