Topologically general U(1) symmetric Einstein spacetimes with AVTD behavior

Details Topologically general U(1) symmetric Einstein spacetimes with AVTD behavior Topologically general U(1) symmetric Einstein spacetimes with AVTD behavior

2005-02-24

arxiv.org/abs/gr-qc/0502104v1

Nuovo Cim.B119:625-638,2004

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

proceedings of conference in Elba to appear in Nuovo Cimento

Scientific paper

10.1393/ncb/i2004-10174-x

We use Fuchsian methods to show that, for any two dimensional manifold
$\Sigma^2$, there is a large family of U(1) symmetric solutions of the vacuum
Einstein equations on the manifold $\Sigma \times S^1 \times \mathbb{R}$, each
of which has AVTD behavior in the neighborhood of its singularity.

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