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.

arXiv comment20 pages, no figures. Submitted to Classical and Quantum Gravity

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• The Singularity in Generic Gravitational Collapse Is Spacelike, Local, and Oscillatory
• Global dynamics of the mixmaster model
• Strong cosmic censorship in vacuum space--times with compact, locally homogeneous Cauchy surfaces

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