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

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.

References in corpus (5)

• Asymptotic behaviour of the Einstein-Vlasov system with a positive cosmological constant
• Isotropic cosmological singularities: other matter models
• Momentum Regularity and Stability of the Relativistic Vlasov-Maxwell-Boltzmann System
• Global Existence of Solutions for the Einstein-Boltzmann System in a Bianchi Type I Space-Time
• Future global existence and asymptotic behaviour of solutions to the Einstein-Boltzmann system with Bianchi I symmetry

Cited by in corpus (4)

• An introduction to the relativistic kinetic theory on curved spacetimes
• Late-time behaviour of the Einstein-Boltzmann system with a positive cosmological constant
• The spatially homogeneous Boltzmann equation for massless particles in an FLRW background
• Future of Bianchi I magnetic cosmologies with kinetic matter