Generalized Schwarzschild–de Sitter model of a spherically symmetric pseudo-Riemannian space
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In the model under consideration, we construct a metric of the space satisfying the system of special gravitational equations. The conditions for the continuity of the metric in the entire space are put forward. A solution of the system of differential equations for geodesics is found. The behavior of radial geodesics under various conditions is studied.
KeywordsSchwarzschild–de Sitter model pseudo-Riemannian metric geodesic equations radial geodesics
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- 4.N. N. Popov, “Geometrical interpretation of gravity theory,” Adv. Syst. Sci. Appl. 12, 54–66 (2012).Google Scholar
- 6.A. Z. Petrov, New Methods in the General Theory of Relativity (Nauka, Moscow, 1967), p. 496 [in Russian].Google Scholar
- 7.L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 2: The Classical Theory of Fields (Nauka, Moscow, 1988; Pergamon, Oxford, 1975).Google Scholar