# 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}
}
• Published 2018
• Physics, Mathematics
• 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