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The linear instability of Kasner spacetimes

Petersen, Oliver
arXiv (All) · Papers
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analysis-of-pdesdifferential-geometrygeneral-relativity-and-quantum-cosmology
We prove linear stability of Kasner spacetimes in the direction of the Big Bang, up to an explicit finite dimensional space of non-decaying self-similar solutions. The fastest growing solution is the linearization of Taub's explicit Bianchi II solution, describing a Kasner transition. All other non-
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