Geodesic
Schwarzschild and de Sitter’s generalized model of spherically symmetric pseudo-Riemannian space
Matematičeskoe modelirovanie, Tome 27 (2015) no. 5, pp. 97-113

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In the boundaries of the concerned model the space’s metric which is the solution of the system of gravitational equations of special type is built. The conditions of continuity of the metric in the whole space are found. The solutions of the system of differential equations of geodesics are found. The behavior of radial geodesics under different conditions are researched.
Keywords: model of Schwarzschild–de Sitter, pseudo-Riemannian metric, geodesic equations, radial geodesics. 
@article{MM_2015_27_5_a6,
     author = {N. N. Popov and I. I. Moroz},
     title = {Schwarzschild and de {Sitter{\textquoteright}s} generalized model of spherically symmetric {pseudo-Riemannian} space},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {97--113},
     publisher = {mathdoc},
     volume = {27},
     number = {5},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2015_27_5_a6/}
}
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N. N. Popov; I. I. Moroz. Schwarzschild and de Sitter’s generalized model of spherically symmetric pseudo-Riemannian space. Matematičeskoe modelirovanie, Tome 27 (2015) no. 5, pp. 97-113. http://geodesic.mathdoc.fr/item/MM_2015_27_5_a6/