论文标题
旋转测试颗粒的粒子表面
The particle surface of spinning test particles
论文作者
论文摘要
在这项工作中，受到克劳德尔，维巴德拉和埃利斯给出的光子表面的定义的启发，我们给出了一个替代的准局部定义，以研究单孔颗粒的圆形轨道。该定义不仅适用于光子，而且适用于大量点粒子。对于球形对称时空中的光子的情况，它将给出与Claudel，Virbhadra和Ellis结果相等的光子表面。同时，通常，静态和固定时空，该定义可以被视为有效潜在方法的准本地形式。但是，与无法定义动态时空中有效电位的有效潜在方法不同，该定义可以应用于动态时空。此外，我们将此定义直接概括为杆偶极颗粒的情况。在静态球形对称时空中，我们通过比较通过有效潜在方法获得的结果来验证这种概括的正确性。
In this work, inspired by the definition of the photon surface given by Claudel, Virbhadra, and Ellis, we give an alternative quasi-local definition to study the circular orbits of single-pole particles. This definition does not only apply to photons but also to massive point particles. For the case of photons in spherically symmetric spacetime, it will give a photon surface equivalent to the result of Claudel, Virbhadra, and Ellis. Meanwhile, in general static and stationary spacetime, this definition can be regarded as a quasi-local form of the effective potential method. However, unlike the effective potential method which can not define the effective potential in dynamical spacetime, this definition can be applied to dynamical spacetime. Further, we generalize this definition directly to the case of pole-dipole particles. In static spherical symmetry spacetime, we verify the correctness of this generalization by comparing the results obtained by the effective potential method.
