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  Future non-linear stability for reflection symmetric solutions of the Einstein-Vlasov system of Bianchi types II and VI0

Nungesser, E. (2013). Future non-linear stability for reflection symmetric solutions of the Einstein-Vlasov system of Bianchi types II and VI0. Annales Henri Poincare, 14, 967-999. doi:10.1007/s00023-012-0201-0.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0010-0D2A-E Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0015-16C5-2
Genre: Journal Article

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1208.4231 (Preprint), 329KB
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 Creators:
Nungesser, Ernesto1, Author           
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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: 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 VI$_0$. 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 VI$_0$ there is no analogous previous result.

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 Dates: 2012-08-212012-092013
 Publication Status: Issued
 Pages: 30 pages
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 Rev. Type: -
 Identifiers: arXiv: 1208.4231
DOI: 10.1007/s00023-012-0201-0
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Title: Annales Henri Poincare
Source Genre: Journal
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Publ. Info: Basel : Birkhäuser
Pages: - Volume / Issue: 14 Sequence Number: - Start / End Page: 967 - 999 Identifier: ISSN: 1424-0637
CoNE: https://pure.mpg.de/cone/journals/resource/954925494977_2