Geodesic
Spherically symmetric perturbations in a spatially flat universe
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 148 (2006) no. 3, pp. 109-115 Cet article a éte moissonné depuis la source Math-Net.Ru

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A solution of the linearized Einstein's equations for a spherically symmetric perturbation of the ultrarelativistic fluid in the homogeneous and isotropic universe is obtained. Conditions on the boundary of the perturbation are discussed. The examples of particle-like and wave-like solutions are given. 
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     title = {Spherically symmetric perturbations in a~spatially flat universe},
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R. K. Mukharlyamov; A. A. Popov. Spherically symmetric perturbations in a spatially flat universe. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 148 (2006) no. 3, pp. 109-115. http://geodesic.mathdoc.fr/item/UZKU_2006_148_3_a8/

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