Future non-linear stability of the Einstein-Vlasov system with reflection Bianchi II and VI0 symmetry | Zendy

Ernesto Nungesser | Zendy

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Future non-linear stability of the Einstein-Vlasov system with reflection Bianchi II and VI0 symmetry

Author(s) -

Ernesto Nungesser

Publication year - 2012

Publication title -

aip conference proceedings

Language(s) - English

Resource type - Conference proceedings

SCImago Journal Rank - 0.177

H-Index - 75

eISSN - 1551-7616

pISSN - 0094-243X

DOI - 10.1063/1.4734469

Subject(s) - physics , reflection (computer programming) , einstein , symmetry (geometry) , circular symmetry , mathematical physics , limit (mathematics) , reflection symmetry , argument (complex analysis) , classical mechanics , stability (learning theory) , vlasov equation , mathematical analysis , quantum mechanics , plasma , mathematics , geometry , machine learning , computer science , programming language , biochemistry , chemistry

Assuming that the space-time is close to special solutions which will play the role of the ω-limit and that the maximal velocity of the particles is small, we have been able to show that for reflection symmetric Bianchi II and reflection symmetric Bianchi VI0 spacetimes with collisionless matter the asymptotic behaviour at late times is close to the special case of dust. The key was a bootstrap argument

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