The Einstein-Vlasov System/Kinetic Theory
General Relativity and Quantum Cosmology
2015-05-28 v1 Mathematical Physics
math.MP
Abstract
The main purpose of this article is to provide a guide to theorems on global properties of solutions to the Einstein--Vlasov system. This system couples Einstein's equations to a kinetic matter model. Kinetic theory has been an important field of research during several decades in which the main focus has been on non-relativistic and special relativistic physics, i.e., to model the dynamics of neutral gases, plasmas, and Newtonian self-gravitating systems. In 1990, Rendall and Rein initiated a mathematical study of the Einstein--Vlasov system. Since then many theorems on global properties of solutions to this system have been established.
Cite
@article{arxiv.1106.1367,
title = {The Einstein-Vlasov System/Kinetic Theory},
author = {Håkan Andréasson},
journal= {arXiv preprint arXiv:1106.1367},
year = {2015}
}
Comments
Published version http://www.livingreviews.org/lrr-2011-4