Bianchi I solutions of the Einstein-Boltzmann system with a positive cosmological constant
Mathematical Physics
2017-10-11 v1 General Relativity and Quantum Cosmology
math.MP
Abstract
In this paper we study the future global existence and late-time behaviour of the Einstein-Boltzmann system with Bianchi I symmetry and a positive cosmological constant . For the Boltzmann equation we consider the scattering kernel of Israel particles which are the relativistic counterpart of Maxwellian particles. Under a smallness assumption on initial data in a suitable norm we show that solutions exist globally in time and isotropize at late times.
Keywords
Cite
@article{arxiv.1705.07009,
title = {Bianchi I solutions of the Einstein-Boltzmann system with a positive cosmological constant},
author = {Ho Lee and Ernesto Nungesser},
journal= {arXiv preprint arXiv:1705.07009},
year = {2017}
}