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

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

2001-12-19

arxiv.org/abs/gr-qc/0112049v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Accepted for publication in Annales Henri Poincare

Scientific paper

10.1016/S0764-4442(00)01786-9

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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