# Integrability of geodesics of totally geodesic metrics

@inproceedings{Kycia2018IntegrabilityOG, title={Integrability of geodesics of totally geodesic metrics}, author={R. A. Kycia and Maria Ulan}, year={2018} }

Analysis of the geodesics in the space of signature $(1,3)$ that splits in two-dimensional distributions resulting from the Weyl tensor eignespaces - hyperbolic and elliptic ones - described in [V. Lychagin, V. Yumaguzhin, \emph{Differential invariants and exact solutions of the Einstein equations}, Anal.Math.Phys. 1664-235X 1-9 (2016)] are presented. Cases when geodesic equations are integrable are identified. Similar analysis is performed for the same model coupled to Electromagnetism… CONTINUE READING

#### References

##### Publications referenced by this paper.

SHOWING 1-10 OF 18 REFERENCES

Symmetries and conservation laws for differential equations of mathematical physics

- Mathematics
- 1999

- 400

Differential invariants and exact solutions of the Einstein equations

- Mathematics
- 2017

- 5
- Highly Influential