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Mathematical Models and Computer Simulations

, Volume 7, Issue 6, pp 540–550 | Cite as

Generalized Schwarzschild–de Sitter model of a spherically symmetric pseudo-Riemannian space

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Abstract

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.

Keywords

Schwarzschild–de Sitter model pseudo-Riemannian metric geodesic equations radial geodesics 

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Copyright information

© Pleiades Publishing, Ltd. 2015

Authors and Affiliations

  1. 1.Dorodnicyn Computing CenterRussian Academy of SciencesMoscowRussia
  2. 2.Moscow Institute of Physics and Technology (State University)Dolgoprudny, Moscow regionRussia

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