Isotropization of non-diagonal Bianchi I-symmetric spacetimes with 
collisionless matter at late times assuming small data

Nungesser, Ernesto

doi:10.1088/0264-9381/27/23/235025

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Isotropization of non-diagonal Bianchi I-symmetric spacetimes with collisionless matter at late times assuming small data

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

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1007.0184
(プレプリント), 175KB

CQG_27_23_235025.pdf
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引用

Nungesser, E. (2010). Isotropization of non-diagonal Bianchi I-symmetric spacetimes with collisionless matter at late times assuming small data. Classical and quantum gravity, 27:. doi:10.1088/0264-9381/27/23/235025.

引用: https://hdl.handle.net/11858/00-001M-0000-0012-C123-D

要旨

Assuming that the space-time is close to isotropic in the sense that the shear parameter is small and that the maximal velocity of the particles is bounded, we have been able to show that for non-diagonal Bianchi I-symmetric spacetimes with collisionless matter the asymptotic behaviour at late times is close to the special case of dust. We also have been able to show that all the Kasner exponents converge to $\frac{1}{3}$ and an asymptotic expression for the induced metric has been obtained. The key was a bootstrap argument.