A black hole inside dark matter and the rotation curves of galaxies

@article{Haddad2020ABH,
  title={A black hole inside dark matter and the rotation curves of galaxies},
  author={Fateen Haddad and Nidal Haddad},
  journal={arXiv: General Relativity and Quantum Cosmology},
  year={2020}
}
In this article we find a four-dimensional metric for a large black hole immersed in dark matter. Specifically, we look for and find a static spherically symmetric black hole solution to the Einstein equations which gives, in the Newtonian limit, the rotation curves of galaxies, including the flat region and the Baryonic Tully-Fisher relation, and which has a regular horizon. We obtain as well the energy-momentum tensor of the dark matter sourcing this space-time and it turns, in special, to… 

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