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

TL;DR

This paper proves the global existence of solutions to the Einstein-Boltzmann system in a Bianchi type I space-time, demonstrating that solutions persist for all time regardless of initial data size in a homogeneous setting.

Contribution

It establishes the first global existence theorem for the Einstein-Boltzmann system in a Bianchi type I universe with large initial data.

Findings

Solutions exist globally in time for the Einstein-Boltzmann system.

The result holds for arbitrarily large initial data in a homogeneous setting.

The proof applies to 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