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arXiv · 1705.07009

Bianchi I solutions of the Einstein-Boltzmann system with a positive cosmological constant

Ho Lee·Ernesto Nungesser
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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 $\Lambda>0$. 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.

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Ho Lee, Ernesto Nungesser. 2017-05-19. Bianchi I solutions of the Einstein-Boltzmann system with a positive cosmological constant. https://doi.org/10.1063/1.4985935

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