Shapovalov wave-like spacetimes
| Autor: | Osetrin, Konstantin, Osetrin, Evgeny |
|---|---|
| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | SYMMETRY-BASEL, 12 (2020), 8, 1372 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.3390/SYM12081372 |
| Popis: | 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. Comment: 17 pages |
| Databáze: | arXiv |
| Externí odkaz: |
|