On equation of geodesic deviation and its solutions

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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 Schrödinger 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.
17 pages, Latex

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Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/153867

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/solv-int/9705003
 http://arxiv.org/abs/solv-int/9705003
 Bulletin of Moldavian Academy of Sciences, ser. math. N3, (1996) 31-48

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arXiv