Isotropization of non-diagonal Bianchi I spacetimes with collisionless matter at late times assuming small data
General Relativity and Quantum Cosmology
2010-11-19 v3 Cosmology and Nongalactic Astrophysics
Mathematical Physics
Analysis of PDEs
math.MP
Abstract
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 1/3 and an asymptotic expression for the induced metric has been obtained. The key was a bootstrap argument.
Keywords
Cite
@article{arxiv.1007.0184,
title = {Isotropization of non-diagonal Bianchi I spacetimes with collisionless matter at late times assuming small data},
author = {Ernesto Nungesser},
journal= {arXiv preprint arXiv:1007.0184},
year = {2010}
}
Comments
V3 18 p. 3 fig. typos corrected, conclusions part extended, references added. To appear in Classical and Quantum Gravity