Global Existence of Solutions for the Einstein-Boltzmann System with Cosmological Constant in the Robertson-Walker Space-time

TL;DR

This paper proves the global existence of solutions for the Einstein-Boltzmann system with a cosmological constant in a homogeneous Robertson-Walker universe, accommodating large initial data.

Contribution

It establishes the first global existence theorem for the Einstein-Boltzmann system with cosmological constant in the homogeneous setting.

Findings

Global solutions exist for arbitrary large initial data.

The results apply to the Einstein-Boltzmann system in Robertson-Walker space-time.

The proof covers the case with a positive cosmological constant.

Abstract

We prove a global in time existence theorem for the initial values problem for the Einstein-Boltzmann system with cosmological constant and arbitrarily large initial data, in the spatially homogeneous case, in a Robertson-Walker space-time.