Numerical solutions of Einstein field equations with radial dark matter

Stanislav Klimenko (), Igor Nikitin and Lialia Nikitina ()
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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

International Journal of Modern Physics C (IJMPC), 2017, vol. 28, issue 07, 1-24

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.

Keywords: Numerical modeling; relativistic systems; general relativity (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1142/S0129183117500966

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