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JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 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

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.

UDC: 519.634

Received: 06.03.2013
Revised: 19.03.2014


 English version:
Mathematical Models and Computer Simulations, 2015, 7:6, 540–550

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© Steklov Math. Inst. of RAS, 2024