Curvature blow up in Bianchi VIII and IX vacuum spacetimes

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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20 pages, no figures. Submitted to Classical and Quantum Gravity

Scientific paper

10.1088/0264-9381/17/4/301

The maximal globally hyperbolic development of non-Taub-NUT Bianchi IX vacuum
initial data and of non-NUT Bianchi VIII vacuum initial data is C2
inextendible. Furthermore, a curvature invariant is unbounded in the incomplete
directions of inextendible causal geodesics.

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