Curvature blow up in Bianchi VIII and IX vacuum spacetimes

Abstract

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.

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

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