Informace o publikaci
Integrability of geodesics of totally geodesic metrics
| Autoři | |
|---|---|
| Rok publikování | 2019 |
| Druh | Kapitola v knize |
| Fakulta / Pracoviště MU | |
| Citace | |
| Popis | Analysis of the geodesics in the space of the signature (1, 3) that splits in two-dimensional distributions resulting from the Weyl tensor eigenspaces—hyperbolic and elliptic ones—described in [V.V. Lychagin, V. Yumaguzhin, Differential invariants and exact solutions of the Einstein equations, Anal. Math. Phys. 1664-235X 1–9 (2016)] is presented. The cases when geodesic equations are integrable are identified. A similar analysis is performed for the model coupled to electromagnetism described in [V.V. Lychagin, V. Yumaguzhi, Differential invariants and exact solutions of the Einstein–Maxwell equation, Anal. Math. Phys. 1, 19–29, (2017)]. |
| Související projekty: |