Geodesic
Elements of the theory of gravitational waves
Teoretičeskaâ i matematičeskaâ fizika, Tome 79 (1989) no. 1, pp. 146-150 
I. G. Fikhtengol'ts. Elements of the theory of gravitational waves. Teoretičeskaâ i matematičeskaâ fizika, Tome 79 (1989) no. 1, pp. 146-150. http://geodesic.mathdoc.fr/item/TMF_1989_79_1_a13/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Characterization of wave solutions of the Einstein equations is carried out with the help of an additional condition for a certain type of the dependence of the fundamental tensor upon space-time variables. In the case of plane gravitational waves the Einstein equations are reduced to the Riccatti equation. Both the superposition of gravitational waves and solitary waves are considered.

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