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

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Mathematical Models and Computer Simulations Aims and scope

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.

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References

  1. A. G. Ries, “Observational evidence from supernovae of accelerating universe and a cosmological constant,” Astron. J. 116, 1009–1038 (1998).

    Article  Google Scholar 

  2. S. Permutter, “Measurements of O and ? from 42-high redshift supernovae,” Astrophys. J. 517, 565–586 (1999).

    Article  Google Scholar 

  3. A. D. Chernin, “Dark energy and universal antigravitation,” Phys. Usp. 51, 253–282 (2008).

    Article  Google Scholar 

  4. N. N. Popov, “Geometrical interpretation of gravity theory,” Adv. Syst. Sci. Appl. 12, 54–66 (2012).

    Google Scholar 

  5. W. de Sitter, “On Einstein’s theory of gravitation and it’s astronomical consequences. Third paper,” Mon. Not. R. Astron. Soc. 78, 3–28 (1917).

    Article  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 

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Authors and Affiliations

  1. Dorodnicyn Computing Center, Russian Academy of Sciences, Moscow, Russia

    N. N. Popov

  2. Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region, Russia

    I. I. Moroz

Authors
  1. N. N. Popov
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  2. I. I. Moroz
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Corresponding author

Correspondence to N. N. Popov.

Additional information

Original Russian Text © N.N. Popov, I.I. Moroz, 2015, published in Matematicheskoe Modelirovanie, 2015, Vol. 27, No. 5, pp. 97–113.

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Popov, N.N., Moroz, I.I. Generalized Schwarzschild–de Sitter model of a spherically symmetric pseudo-Riemannian space. Math Models Comput Simul 7, 540–550 (2015). https://doi.org/10.1134/S2070048215060083

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  • DOI: https://doi.org/10.1134/S2070048215060083

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