Abstract
Using the methods developed for the Bianchi I case we have shown that a boostrap argument is also suitable to treat the future non-linear stability for reflection symmetric solutions of the Einstein–Vlasov system of Bianchi types II and VI0. These solutions are asymptotic to the Collins–Stewart solution with dust and the Ellis–MacCallum solution, respectively. We have thus generalized the results obtained by Rendall and Uggla in the case of locally rotationally symmetric Bianchi II spacetimes to the reflection symmetric case. However, we needed to assume small data. For Bianchi VI0 there is no analogous previous result.
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Communicated by Piotr T. Chrusciel.
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Nungesser, E. Future Non-Linear Stability for Reflection Symmetric Solutions of the Einstein–Vlasov System of Bianchi Types II and VI0 . Ann. Henri Poincaré 14, 967–999 (2013). https://doi.org/10.1007/s00023-012-0201-0
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DOI: https://doi.org/10.1007/s00023-012-0201-0