Global Existence of Solutions for the Einstein-Boltzmann System in a Bianchi Type I Space-Time

Abstract

We prove a global in time existence theorem, for the initial value problem for the Einstein-Boltzmann system, with arbitrarily large initial data, in the homogeneous case, in a Bianchi type I space-time

44 pages, detailed version of paper

References in corpus (2)

• Global existence of solutions for the relativistic Boltzmann equation with arbitrarily large initial data on a Bianchi type I space-time
• Local Existence and Continuation Criterion for Solutions of the Spherically Symmetric Einstein-Vlasov-Maxwell System

Cited by in corpus (8)

• The Einstein-Vlasov System/Kinetic Theory
• Isotropization of non-diagonal Bianchi I spacetimes with collisionless matter at late times assuming small data
• Future global existence and asymptotic behaviour of solutions to the Einstein-Boltzmann system with Bianchi I symmetry
• Bianchi I solutions of the Einstein-Boltzmann system with a positive cosmological constant
• The spatially homogeneous Boltzmann equation for massless particles in an FLRW background
• Asymptotic behaviour of the relativistic Boltzmann equation in the Robertson-Walker spacetime
• The spatially homogeneous relativistic Boltzmann equation with a hard potential
• Future global existence of homogeneous solutions to the Einstein-Boltzmann system with soft potentials