Global existence for the Einstein-Boltzmann equation in the flat Robertson-Walker spacetime
type: Item
instance of: scholarly article
title: Global existence for the Einstein-Boltzmann equation in the flat Robertson-Walker spacetime
zbMATH Open document ID: 0937.83003
author: Piotr Bogusław Mucha
published in: Communications in Mathematical Physics
publication date: 2000-06-05T00:00:00Z
review text: This article discusses global existence of solutions to the Einstein-Boltzmann equations. The evolution of a collison gas is studied in a spatially homogeneous and isotropic spacetime, i.e.\ a spatially flat Friedmann-Robertson-Walker spacetime. The particles in the gas are assumed to have equal mass. Within this setting, the initial value problem is studied. It is shown that the main task is to prove existence to solutions for the Boltzmann equation. An existence proof for global in time mild solutions of the Einstein-Boltzmann system is presented.
reviewed by: C. Klein
Mathematics Subject Classification ID: 83C05
Mathematics Subject Classification ID: 35Q75
Mathematics Subject Classification ID: 83F05
zbMATH DE Number: 1335331
zbMATH Keywords: Einstein-Boltzmann equation
zbMATH Keywords: global existence
zbMATH Keywords: Friedmann-Robertson-Walker spacetime
zbMATH Keywords: initial value problem
MaRDI profile type: Publication
full work available at URL: s002200050607
OpenAlex ID: W2080827071
DOI: 10.1007/S002200050607
description: scientific article; zbMATH DE number 1335331