Integration of the Hamilton-Jacobi and the vaccum Maxwell equations for the diagonal metrics of the Stackel space-time
The classification of the Stackel space-times and electromagnetic fields for the case when Hamilton-Jcobi equation admits the complete separation of variables is made. In this case there are one vector and two tensor fields in the complete set of the Killing geometrical objects of the space-time. The classification is added by integration of the vacuum Maxwell equations.
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Keywords
штеккелевы пространства, разделение переменных, тензорные поля Киллинга, уравнение Гамильтона - Якоби, Stackel space, complete separation of variables, Killing tensors, Hamilton-Jcobi equationAuthors
| Name | Organization | |
| Obukhov V.V. | Tomsk State Pedagogical University | obukhov@tspu.edu.ru |
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