论文标题
类型（3.1）的空间均匀的共形stäckel空间
Spatially homogeneous conformal Stäckel spacetimes of type (3.1)
论文作者
论文摘要
在这项工作中，我们获得了与类型（2.1）的Stäckel空间集和类型（3.1）类型的STäckel空间集的相交相关的所有空间均匀时空模型。这些模型允许在汉密尔顿 - 雅各比方程中完全分离变量，用于大规模的测试颗粒和辐射的艾科尼尔方程中。在这项工作中获得的模型与波浪状时空模型有关。对于发现的模型，获得具有宇宙常数和辐射的爱因斯坦方程的溶液。对于所获得的溶液，整合了汉密尔顿 - 雅各比形式中大规模测试颗粒的运动方程和运动方程。
In this work, we obtain all spatially homogeneous space-time models related to the intersection of the set of Stäckel spaces of type (2.1) and the set of conformally Stäckel spaces of type (3.1). These models allow a complete separation of variables both in the Hamilton-Jacobi equation for massive test particles and in the eikonal equation for radiation. The models obtained in this work relate to wave-like space-time models. For the found models, solutions of the Einstein equations with the cosmological constant and radiation are obtained. For the obtained solutions, the eikonal equation and the equations of motion of massive test particles in the Hamilton-Jacobi form are integrated.
