几何动力学中的欧拉观测器
Euler observers in geometrodynamics
摘要：
欧拉观测器是研究时空演化的基本工具。柯西曲面是通过使用超曲面正交场及其与坐标观测器的关系来发展的，这使得能够使用已经开发的算法。在几何动力学中，新的四分体矢量被引入，具有突出的简化特性。我们将在考虑存在电磁场的弯曲四维洛伦兹时空的情况下，使用这些已经介绍过的四矢量。这些爱因斯坦-麦克斯韦几何将提供新的四元组，我们将使用它来开发一种算法，以产生具有额外简化性质的柯西演化。
英文摘要：
Euler observers are a fundamental tool for the study of spacetime evolution. Cauchy surfaces are evolved through the use of hypersurface orthogonal fields and their relationship to coordinate observers, that enable the use of already developed algorithms. In geometrodynamics new tetrad vectors have been introduced with outstanding simplifying properties. We are going to use these already introduced tetrad vectors in the case where we consider a curved four dimensional Lorentzian spacetime with the presence of electromagnetic fields. These Einstein-Maxwell geometries will provide the new tetrad that we are going to use in order to develop an algorithm to produce Cauchy evolution with additional simplifying properties.
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