Uniform circular motion in general relativity: existence and extendibility of the trajectories
Uniform circular motion in general relativity: existence and extendibility of the trajectories
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广义相对论中的匀速圆周运动：轨迹的存在性和可延展性
DOI：
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发表时间：
2017
期刊：
影响因子：
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通讯作者：
P. Torres
中科院分区：
文献类型：
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作者：
Daniel de la Fuente;A. Romero;P. Torres
一般时空中的匀速圆周运动的概念是作为平面运动的一种特殊情况而引入的。详细分析了相应微分方程的初值问题。在几何学上，服从匀速圆周运动的观察者被描述为洛伦兹螺旋。本文研究了广义Robertson-Walker时空和相应的pp波时空族中不可扩展轨线的完备性。在合理的假设下，这些结果的物理解释是，一个均匀的圆形观察者永远存在，提供了这些类时曲线所定义的奇点的缺失。
The concept of uniform circular motion in a general spacetime is introduced as a particular case of a planar motion. The initial value problem of the corresponding differential equation is analysed in detail. Geometrically, an observer that obeys a uniform circular motion is characterized as a Lorentzian helix. The completeness of inextensible trajectories is studied in generalized Robertson–Walker spacetimes and in a relevant family of pp-wave spacetimes. Under reasonable assumptions, the physical interpretation of such results is that a uniform circular observer lives forever, providing the absence of the singularities defined by these timelike curves.