关于NUT-taub-like时空中圆形轨道完整不变性的研究

On the holonomy invariance of a circular orbit in the NUT-taub-like spacetime

在NUT-taub-like(NT-like)时空性质和测地线性质的基础上,研究矢量沿闭合圆形轨道的平移变换.研究结果表明具有r和两个分量的矢量,当它沿赤道平面内的圆形轨道做平移变换时,存在一个量子化的完整不变性的带状结构,这反映出引力磁单极(NUT参数)对NT-like时空的影响和作用.

Based on the properties of spacetime and geodesic for the NUT-taub-like（NT-like） metric, the parallel transport of vectors around closed circular orbit is studied in this paper. It is pointed out that when the vector with two components in r and φ directions has a parallel transport around closed circular orbit in the equatorial plane, there is a quantized band structure of holonomy invariance, which reflects the effect of gravitomagnetic monopole （NUT parameter） on NT-like spacetime.