Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2002-06-24
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
31 pages. This article has been submitted to Living Rev. Relativity (http://www.livingreviews.org)
Scientific paper
The main purpose of this article is to guide the reader 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 where the main focus has been on nonrelativistic- and special relativistic physics, e.g. 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. The Vlasov equation describes matter phenomenologically and it should be stressed that most of the theorems presented in this article are not presently known for other such matter models (e.g. fluid models). The first part of this paper gives an introduction to kinetic theory in non-curved spacetimes and then the Einstein-Vlasov system is introduced. We believe that a good understanding of kinetic theory in non-curved spacetimes is fundamental in order to get a good comprehension of kinetic theory in general relativity.
No associations
LandOfFree
The Einstein-Vlasov sytem/Kinetic theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The Einstein-Vlasov sytem/Kinetic theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Einstein-Vlasov sytem/Kinetic theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-2898