反演产生的双曲运动
Hyperbolic motion generated by inversion
摘要：
应用于惯性观测器的逆变换用于生成球坐标系中的非静态共形平坦几何。新几何中的静态观测器相对于惯性观测器均匀加速度，反之亦然，但是其加速度$g$经历变换$g \rightarrow 1/b^{2}g$，其中$b$是常数。一个静态观测者的非测地同余有一个随时间线性增长的标量展开，但加速度与$r$成正比，就像经典旋转一样。
英文摘要：
An inversion transformation applied to an inertial observer is used to generate a nonstatic conformally flat geometry in spherical coordinates. A static observer in the new geometry is uniformly accelerating with respect to the inertial one and vice versa, but its acceleration $g$ undergoes the transformation $g \rightarrow 1/b^{2}g$, where $b$ is a constant. A nongeodesic congruence of a static observer has a scalar expansion which grows linearly with time but the acceleration is proportional to $r$, as for the classical rotation.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
