On equation of geodesic deviation and its solutions
solv-int
2008-02-03 v1 Exactly Solvable and Integrable Systems
Abstract
Equations of geodesic deviation for the 3-dimensional and 4-dimensional Riemann spaces are discussed. Availability of wide classes of exact solutions of such equations, due to recent results for the matrix Schr\"odinger equation, is demonstrated. Particular classes of exact solutions for the geodesic deviation equation as well as for the Raychaudhuri and generalized Raychaudhuri equation are presented. Solutions of geodesic deviation equation for the Schwarzshild and Kasner metrics are found.
Keywords
Cite
@article{arxiv.solv-int/9705003,
title = {On equation of geodesic deviation and its solutions},
author = {V. S. Dryuma and B. G. Konopelchenko},
journal= {arXiv preprint arXiv:solv-int/9705003},
year = {2008}
}
Comments
17 pages, Latex