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Matematicheskoe modelirovanie, 2015, Volume 27, Number 5, Pages 97–113 (Mi mm3602)  
Schwarzschild and de Sitter’s generalized model of spherically symmetric pseudo-Riemannian space

N. N. Popova, I. I. Morozb

a Institution of Russian Academy of Science Dorodnicyn Computing Centre of RAS, Federal Research Center "Computer Science and Control" of Russian Academy of Sciences
b Moscow Institute of Physics and Technology
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Abstract: 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.
Received: 06.03.2013
Revised: 19.03.2014
English version:
Mathematical Models and Computer Simulations, 2015, Volume 7, Issue 6, Pages 540–550
DOI: https://doi.org/10.1134/S2070048215060083
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: N. N. Popov, I. I. Moroz, “Schwarzschild and de Sitter’s generalized model of spherically symmetric pseudo-Riemannian space”, Matem. Mod., 27:5 (2015), 97–113; Math. Models Comput. Simul., 7:6 (2015), 540–550
Citation in format AMSBIB
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\by N.~N.~Popov, I.~I.~Moroz
\paper Schwarzschild and de Sitter’s generalized model of spherically symmetric pseudo-Riemannian space
\jour Matem. Mod.
\yr 2015
\vol 27
\issue 5
\pages 97--113
\mathnet{http://mi.mathnet.ru/mm3602}
\elib{https://elibrary.ru/item.asp?id=24850026}
\transl
\jour Math. Models Comput. Simul.
\yr 2015
\vol 7
\issue 6
\pages 540--550
\crossref{https://doi.org/10.1134/S2070048215060083}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84947431926}
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