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Future Global in time einsteinian spacetimes with U(1) isometry group

Yvonne Choquet-Bruhat·Vincent Moncrief
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Abstract

We prove that spacetimes satisfying the vacuum Einstein equations on a manifold of the form $Σ\times U(1)\times R$ 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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Yvonne Choquet-Bruhat, Vincent Moncrief. 2001-12-19. Future Global in time einsteinian spacetimes with U(1) isometry group. https://doi.org/10.1007/s00023-001-8602-5

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