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首页> 外文期刊>International journal of geometric methods in modern physics >CHARGED PARTICLES AND THE ELECTRO-MAGNETIC FIELD IN NONINERTIAL FRAMES OF MINKOWSKI SPACE-TIME: I. ADMISSIBLE 3+1 SPLITTINGS OF MINKOWSKI SPACE-TIME AND THE NONINERTIAL REST FRAMES
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CHARGED PARTICLES AND THE ELECTRO-MAGNETIC FIELD IN NONINERTIAL FRAMES OF MINKOWSKI SPACE-TIME: I. ADMISSIBLE 3+1 SPLITTINGS OF MINKOWSKI SPACE-TIME AND THE NONINERTIAL REST FRAMES

机译：Minkowski时空非惯性框架中的带电粒子和电磁场：I. Minkowski时空及非惯性剩余框架的容许3 + 1分裂

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By using the 3+1 point of view and parametrized Minkowski theories we develop the theory of noninertial frames in Minkowski space-time. The transition from a noninertial frame to another one is a gauge transformation connecting the respective notions of instantaneous three-space ( clock synchronization convention) and of the three-coordinates inside them. As a particular case we get the extension of the inertial rest-frame instant form of dynamics to the noninertial rest-frame one. We show that every isolated system can be described as an external decoupled noncovariant canonical center of mass (described by frozen Jacobi data) carrying a pole-dipole structure: the invariant mass and an e. ective spin. Moreover we identify the constraints eliminating the internal three-center of mass inside the instantaneous three-spaces. In the case of the isolated system of positive-energy scalar particles with Grassmann-valued electric charges plus the electro-magnetic field, we obtain both Maxwell equations and their Hamiltonian description in noninertial frames. Then by means of a noncovariant decomposition we de. ne the noninertial radiation gauge and we find the form of the noncovariant Coulomb potential. We identify the coordinate-dependent relativistic inertial potentials and we show that they have the correct Newtonian limit. In the second paper we will study properties of Maxwell equations in noninertial frames like the wrap-up effect and the Faraday rotation in astrophysics. Also the 3+1 description without coordinate-singularities of the rotating disk and the Sagnac effect will be given, with added comments on pulsar magnetosphere and on a relativistic extension of the Earth-fixed coordinate system.
机译：通过使用3 + 1观点和参数化的Minkowski理论，我们发展了Minkowski时空中的非惯性框架理论。从非惯性系到另一系的过渡是一种量表转换，该量表转换连接了瞬时三空间（时钟同步约定）及其内部三坐标的各个概念。作为一种特殊情况，我们将动力学的惯性静止帧即时形式扩展到非惯性静止帧。我们表明，每个孤立的系统都可以描述为外部解耦的非协方差标准质心（由冻结的Jacobi数据描述），具有极偶极结构：不变质量和e。旋转。此外，我们确定了消除瞬时三个空间内部的内部质心的约束。在具有格拉斯曼值电荷加上电磁场的正能量标量粒子的隔离系统的情况下，我们在非惯性框架中获得麦克斯韦方程组和它们的哈密顿量描述。然后，通过非协变分解，我们得出结论。通过非惯性辐射计，我们发现了非协变库仑势的形式。我们确定了坐标相关的相对论惯性势，并证明它们具有正确的牛顿极限。在第二篇论文中，我们将研究非惯性系中的麦克斯韦方程组的性质，例如天体物理学中的包裹效应和法拉第旋转。还将给出没有旋转盘坐标奇异性和Sagnac效应的3 + 1描述，并增加对脉冲星磁层和相对固定的地球固定坐标系的注释。

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