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

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.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0010-0D2E-6 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0015-12CD-3
Genre: Journal Article

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1208.6158 (Preprint), 206KB
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 Creators:
Nungesser, Ernesto1, Author              
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
 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.

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 Dates: 2012-08-302012
 Publication Status: Published in print
 Pages: 18 pages
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1208.6158
DOI: 10.1063/1.4758930
 Degree: -

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Title: Journal of Mathematical Physics
Source Genre: Journal
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Publ. Info: Woodbury, N.Y. [etc.] : American Institute of Physics
Pages: - Volume / Issue: - Sequence Number: 102503 Start / End Page: - Identifier: ISSN: 0022-2488
CoNE: /journals/resource/954922836227