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

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arxiv gr-qc/0112049 v1 pith:GOEXOY7J submitted 2001-12-19 gr-qc

Yvonne Choquet-Bruhat , Vincent Moncrief This is my paper · ORCID
classification gr-qc
keywords sigmaspacetimestimetimescauchycompactdatadirection
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abstract

We prove that spacetimes satisfying the vacuum Einstein equations on a manifold of the form $\Sigma \times U(1)\times R$ where $\Sigma $ 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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 93 citations worldwide. Full citation record

  1. Nonlinear stability of Einstein-de Sitter universes

    gr-qc 2026-07 accept novelty 8.0 of 10

    Near-flat initial data for Einstein-Euler with polytropic equation of state n>3 on T^{3} produce future-global solutions that homogenise and asymptote to Einstein-de Sitter.

  2. On Axially Symmetric Perturbations of Kerr Black Hole Spacetimes

    gr-qc 2025-07 conditional novelty 4.0 of 10

    For subextremal Kerr spacetimes, the paper constructs a positive-definite, conserved Hamiltonian energy for axially symmetric linear perturbations, indicating a form of linear stability within this symmetry class.

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