The Einstein-Vlasov System/Kinetic Theory

IF 26.3 2区 物理与天体物理 Q1 PHYSICS, PARTICLES & FIELDS
Håkan Andréasson
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引用次数: 114

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. 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 a good comprehension of kinetic theory in general relativity.

Abstract Image

爱因斯坦-弗拉索夫系统/动力学理论
本文的主要目的是提供爱因斯坦-弗拉索夫系统解的全局性质定理的指导。这个系统将爱因斯坦方程与一个动力学物质模型结合在一起。几十年来,动力学理论一直是一个重要的研究领域,主要集中在非相对论和狭义相对论物理上,即对中性气体、等离子体和牛顿自引力系统的动力学进行建模。1990年,伦德尔和雷小山开始了对爱因斯坦-弗拉索夫系统的数学研究。此后,人们建立了许多关于该系统解的整体性质的定理。本文首先介绍了非弯曲时空中的运动理论,然后介绍了爱因斯坦-弗拉索夫系统。我们认为,对非弯曲时空中的运动论有一个很好的理解,是对广义相对论中的运动论有一个很好的理解的基础。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Living Reviews in Relativity
Living Reviews in Relativity 物理-物理:粒子与场物理
CiteScore
69.90
自引率
0.70%
发文量
0
审稿时长
20 weeks
期刊介绍: Living Reviews in Relativity is a peer-reviewed, platinum open-access journal that publishes reviews of research across all areas of relativity. Directed towards the scientific community at or above the graduate-student level, articles are solicited from leading authorities and provide critical assessments of current research. They offer annotated insights into key literature and describe available resources, maintaining an up-to-date suite of high-quality reviews, thus embodying the "living" aspect of the journal's title. Serving as a valuable tool for the scientific community, Living Reviews in Relativity is often the first stop for researchers seeking information on current work in relativity. Written by experts, the reviews cite, explain, and assess the most relevant resources in a given field, evaluating existing work and suggesting areas for further research. Attracting readers from the entire relativity community, the journal is useful for graduate students conducting literature surveys, researchers seeking the latest results in unfamiliar fields, and lecturers in need of information and visual materials for presentations at all levels.
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