论文标题
Stäckel类型的空间均匀模型（2.1）
Spatially homogeneous models of Stäckel spacetimes of type (2.1)
论文作者
论文摘要
所有类别在空间均匀的时空模型中都可以通过根据（2.1）类型将变量完全分离的方法整合到测试粒子方程和Eikonal方程。获得了四类模型数据。所得模型可以应用于任何修改的重力理论。以上两个模型允许具有宇宙常数和辐射的爱因斯坦方程解决方案。对于在爱因斯坦重力理论中获得的宇宙常数和辐射的空间均匀宇宙的模型，测试颗粒运动运动的汉密尔顿 - 雅各比方程和辐射的Eikonal方程是通过变量分离的方法集成的。
All classes of spatially homogeneous space-time models are found that allow the integration of the equations of motion of test particles and the eikonal equation by the method of complete separation of variables according to type (2.1). Four classes of model data are obtained. The resulting models can be applied in any modified metric theories of gravity. Two of the above models allow solutions of the Einstein equations with a cosmological constant and radiation. For the models of a spatially homogeneous Universe with a cosmological constant and radiation obtained in Einstein's theory of gravity, the Hamilton-Jacobi equations of motion of the test particles and the eikonal equation for radiation are integrated by the method of separation of variables.
