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Future non-linear stability for solutions of the Einstein-Vlasov system of Bianchi types II and VI_0

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http://pubman.mpdl.mpg.de/cone/persons/resource/persons20695

Nungesser,  Ernesto
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

1208.6158
(Preprint), 206KB

JoMP53_102503.pdf
(Any fulltext), 140KB

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Citation

Nungesser, E. (2012). Future non-linear stability for solutions of the Einstein-Vlasov system of Bianchi types II and VI_0. Journal of Mathematical Physics, 102503. doi:10.1063/1.4758930.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0010-0D2E-6
Abstract
In a recent paper arXiv:1208.4231 we have treated the future non-linear stability for reflection symmetric solutions of the Einstein-Vlasov system of Bianchi types II and VI$_0$. We have been able now to remove the reflection symmetry assumption, thus treating the non-diagonal case. Apart from the increasing complexity the methods have been essentially the same as in the diagonal case, showing that they are thus quite powerful. Here the challenge was to put the equations in a form that permits the use of the previous results. We are able to conclude that after a possible basis change the future of the non-diagonal spacetimes in consideration is asymptotically diagonal.