%0 Journal Article
%T The Einstein-Vlasov System/Kinetic Theory
%A H£¿kan Andr¨¦asson
%J Living Reviews in Relativity
%D 2011
%I Max-Planck Institute for Gravitational Physics
%X 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. This paper gives introductions to kinetic theory in non-curved spacetimes and then the Einstein¨CVlasov system is introduced. We believe that a good understanding of kinetic theory in non-curved spacetimes is fundamental to a good comprehension of kinetic theory in general relativity.
%K Einstein-Vlasov system
%K Global existence
%K Nordstr m-Vlasov system
%K Kinetic theory
%K Vlasov-Poisson system
%U http://www.livingreviews.org/lrr-2011-4