论文标题
Shapovalov波动的空位
Shapovalov wave-like spacetimes
论文作者
论文摘要
提出了对时空模型的完整分类，该模型接收了特权坐标系统，其中汉密尔顿 - 雅各比方程的测试粒子方程是通过将变量完全分离而分离的各向同性（波）变量的方法集成的，在该方法上，空间的度量取决于（波浪样的shapoval space）。对于所有类型的Shapovalov空间，发现真空中具有宇宙常数的爱因斯坦方程的精确解。提供了针对艾科纳尔方程和汉密尔顿 - 雅各比的完整积分，测试颗粒运动方程。
A complete classification of space-time models is presented, which admit the privileged coordinate systems, where the Hamilton-Jacobi equation for a test particle is integrated by the method of complete separation of variables with separation of the isotropic (wave) variable, on which the metric of space depends (wave-like Shapovalov spaces). For all types of Shapovalov spaces, exact solutions of the Einstein equations with a cosmological constant in vacuum are found. Complete integrals are presented for the eikonal equation and the Hamilton-Jacobi equation of motion of test particles.
