Half polarized U(1) symmetric vacuum spacetimes with AVTD behavior

Details Half polarized U(1) symmetric vacuum spacetimes with AVTD behavior Half polarized U(1) symmetric vacuum spacetimes with AVTD behavior

2005-06-10

arxiv.org/abs/gr-qc/0506066v1

J.Geom.Phys. 56 (2006) 1199-1214

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1016/j.geomphys.2005.06.011

In a previous work, we used a polarization condition to show that there is a family of U(1) symmetric solutions of the vacuum Einstein equations such that each exhibits AVTD (Asymptotic Velocity Term Dominated) behavior in the neighborhood of its singularity. Here we consider the general case of U(1) bundles and determine a condition, called the half polarization condition, necessary and sufficient in our context, for AVTD behavior near the singularity.

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