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

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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 Λ>0. For the Boltzmann equation,… Click to show full 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 Λ>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.

Keywords: bianchi solutions; cosmological constant; positive cosmological; boltzmann system; einstein boltzmann

Journal Title: Journal of Mathematical Physics
Year Published: 2017

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