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首页> 外文期刊>Acta physica Polonica, B. Particle Physics and Field Theory, Nuclear Physics, Theory of Relativity >Kinematics of Relative Motion of Charged Test Particles in General Relativity. I. The first Electromagnetic Deviation
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Kinematics of Relative Motion of Charged Test Particles in General Relativity. I. The first Electromagnetic Deviation

机译：广义相对论中带电测试粒子相对运动的运动学。 I.第一个电磁偏差

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This is the first of two articles containing the definition and a detailed mathematical analysis of the concept of electromagnetic deviation in pseudo-Riemannian geometry. It presents a study of both the Lorentz equations of motion and the notion of the first electromagnetic deviation together with its equations of evolution, whereas the second article, which will follow soon, will be dealing with the notion of the second electromagnetic deviation. An interrelation of properties of the initial value problems for the Lorentz and the deviation equations is investigated. The analysis makes use of a formalism that is reparametrisation covariant and invariant under gauges of deviations defined in the paper. It is shown that by specialisations of gauges one can obtain particular kinds of deviation, some of which were not discussed so far.
机译：这是两篇文章的第一篇，其中包含伪黎曼几何中电磁偏差的定义和详细数学分析。它介绍了对洛伦兹运动方程和第一个电磁偏差的概念以及其演化方程的研究，而即将发表的第二篇文章将讨论第二个电磁偏差的概念。研究了洛伦兹初值问题的性质与偏差方程的相互关系。该分析利用了形式参数，该形式参数是本文定义的偏差量表下的重新参数化协方差和不变性。结果表明，通过量规的专业化，可以获得特定种类的偏差，其中一些至今尚未讨论。

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