论文标题
关于锥形缺陷时空中汉堡矢量和重力能量的量化
On the Quantization of Burgers Vector and Gravitational Energy in the Space-Time of a Conical Defect
论文作者
论文摘要
锥形拓扑缺陷是时空的翻译和/或旋转变形的结果，尤其是汉堡矢量描述了翻译变形。这种配置代表了不连续性，无法通过坐标转换来删除，并且与时空扭转有关。使用电触电等效的一般相对论（TERG），这是一种引力理论，在动态上等同于一般相对论（GR），我们研究了假设离散的汉堡载体对静态圆锥缺损周围颗粒的地球运动运动的后果。结果是测试粒子在缺陷周围的螺旋大地运动，其离散步骤取决于错位的大小。
A conical topological defect is the result of translational and/or rotational deformations of spacetime, in particular the Burgers vector describes the translational deformation. Such a configuration represents a discontinuity, that cannot be removed by coordinate transformations, and is related to the spacetime torsion. Using the Teleparallel Equivalent of General Relativity (TERG), a gravitational theory that is dynamically equivalent to General Relativity (GR), we investigate the consequences of assuming a discrete Burgers vector on the geodesic motion of particles around a static conical defect. The result is a helical geodesic motion of a test particle around the defect, with a discrete step that depends on the magnitude of the dislocation.
