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

Nungesser, Ernesto

doi:10.1007/s00023-012-0201-0

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsRelease HistoryDetailsSummary

Released

Journal Article

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

MPS-Authors

/persons/resource/persons20695

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

External Resource

No external resources are shared

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

1208.4231
(Preprint), 329KB

Nungesser.pdf
(Any fulltext), 381KB

Supplementary Material (public)

There is no public supplementary material available

Citation

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.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0010-0D2A-E

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.