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The Einstein-Vlasov System/Kinetic Theory
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 focu...
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Formato: | Online Artículo Texto |
Lenguaje: | English |
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Springer International Publishing
2002
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Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5660889/ https://www.ncbi.nlm.nih.gov/pubmed/29142502 http://dx.doi.org/10.12942/lrr-2002-7 |
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author | Andréasson, Håkan |
author_facet | Andréasson, Håkan |
author_sort | Andréasson, Håkan |
collection | PubMed |
description | 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 nonrelativistic 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. 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 (i.e. fluid models). This paper gives introductions 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 to good comprehension of kinetic theory in general relativity. |
format | Online Article Text |
id | pubmed-5660889 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2002 |
publisher | Springer International Publishing |
record_format | MEDLINE/PubMed |
spelling | pubmed-56608892017-11-13 The Einstein-Vlasov System/Kinetic Theory Andréasson, Håkan Living Rev Relativ Review Article 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 nonrelativistic 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. 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 (i.e. fluid models). This paper gives introductions 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 to good comprehension of kinetic theory in general relativity. Springer International Publishing 2002-12-06 2002 /pmc/articles/PMC5660889/ /pubmed/29142502 http://dx.doi.org/10.12942/lrr-2002-7 Text en © The Author(s) 2002 |
spellingShingle | Review Article Andréasson, Håkan The Einstein-Vlasov System/Kinetic Theory |
title | The Einstein-Vlasov System/Kinetic Theory |
title_full | The Einstein-Vlasov System/Kinetic Theory |
title_fullStr | The Einstein-Vlasov System/Kinetic Theory |
title_full_unstemmed | The Einstein-Vlasov System/Kinetic Theory |
title_short | The Einstein-Vlasov System/Kinetic Theory |
title_sort | einstein-vlasov system/kinetic theory |
topic | Review Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5660889/ https://www.ncbi.nlm.nih.gov/pubmed/29142502 http://dx.doi.org/10.12942/lrr-2002-7 |
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