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arxiv: 1106.1367 · v1 · pith:2XMJWCCSnew · submitted 2011-06-07 · 🌀 gr-qc · math-ph· math.MP

The Einstein-Vlasov System/Kinetic Theory

H{\aa}kan Andr\'easson This is my paper
classification 🌀 gr-qc math-phmath.MP
keywords systembeenkineticeinstein--vlasovglobalmainmodelproperties
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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.

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