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Numerical solutions of Einstein field equations with radial dark matter

Author

Listed:
  • Stanislav Klimenko

    (Institute of Computing for Physics and Technology, Protvino, Russia)

  • Igor Nikitin

    (Fraunhofer Institute for Algorithms and Scientific Computing, Sankt Augustin, Germany)

  • Lialia Nikitina

    (Fraunhofer Institute for Algorithms and Scientific Computing, Sankt Augustin, Germany)

Abstract

We study a static spherically symmetric problem with a black hole and radially directed geodesic flows of dark matter. The obtained solutions have the following properties. At large distances, the gravitational field produces constant velocities of circular motion, i.e. flat rotation curves. At smaller distances, the field switches to Newtonian regime, then to Schwarzschild regime. Deviations from Schwarzschild regime start below the gravitational radius. The dark matter prevents the creation of event horizon, instead, a spherical region possessing extremely large redshift is created. The structure of space-time for the obtained solutions is investigated and the implications for the models of the galaxies are discussed.

Suggested Citation

  • Stanislav Klimenko & Igor Nikitin & Lialia Nikitina, 2017. "Numerical solutions of Einstein field equations with radial dark matter," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 28(07), pages 1-24, July.
    • Handle: RePEc:wsi:ijmpcx:v:28:y:2017:i:07:n:s0129183117500966
    DOI: 10.1142/S0129183117500966
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