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## On equation of geodesic deviation and its solutions. (English)

Authors: Driuma Valeriu, Konopelchenko B. G.

### 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 Schrodinger 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.

Institutul de Matematică Academia de Ştiinţe a Moldovei
str. Academiei 5, Chişinău, MD-2028 Moldova
E-mail:
Consortium EINSTEIN Dipartimento di Fisica dell'Universita
and Sezione INFN, 73100 Lecce, Italy