论文标题
Bianchi VII宇宙的引力波：粒子轨迹，测地偏差和潮汐加速度
Gravitational wave of the Bianchi VII universe: particle trajectories, geodesic deviation and tidal accelerations
论文作者
论文摘要
对于基于III型Shapovalov波时时间的重力波模型，获得了Bianchi型VII型宇宙的测试粒子轨迹和地球偏差方程的精确解。基于发现的4个向量的偏差，计算引力波中的潮汐加速度。对于在特权坐标系中获得的解决方案，发现了向同步参考系统的明确形式的转换形式，该转换允许在任何时空的任何点与时间和空间坐标分开的时间同步。所使用的同步参考系统与基本大地测量的自由下落观察者有关。在同步坐标系中，获得了重力波的明确形式，地球偏差的4个矢量和引力波中潮汐加速度的4个矢量。精确的解决方案描述了原始重力波的变体。该工作的结果可用于研究引力波的潮汐加速器产生的等离子体辐射。
For the gravitational wave model based on the type III Shapovalov wave space-time, test particle trajectories and the exact solution of geodesic deviation equations for the Bianchi type VII universe are obtained. Based on the found 4-vector of deviation, tidal accelerations in a gravitational wave are calculated. For the obtained solution in a privileged coordinate system, an explicit form of transformations into a synchronous reference system is found, which allows time synchronization at any points of space-time with separation of time and spatial coordinates. The synchronous reference system used is associated with a freely falling observer on the base geodesic. In a synchronous coordinate system, an explicit form of the gravitational wave metric, a 4-vector of geodesic deviation, and a 4-vector of tidal accelerations in a gravitational wave are obtained. The exact solution describes a variant of the primordial gravitational wave. The results of the work can be used to study the plasma radiation generated by tidal accelerations of a gravitational wave.
