Modelling the Sgr A* Black Hole Immersed in a Dark Matter Spike

Understand

In this paper, we investigate the effects of a dark matter (DM) spike on the neighborhood of Sgr A*, the black hole (BH) in the center of the Milky Way galaxy.

• Our main goal is to investigate whether current and future astronomical observations of Sgr A* could detect the presence of such a DM spike.
• At first, we construct the spacetime metric around a static and spherically symmetric BH with a DM spike, and later this solution is generalized for a rotating BH using the Newman-Janis-Azreg A\"{i}nou algorithm.
• For the static BH metric, we use the data of the S2 star orbiting the Sgr A* to determine and analyze the constraints on the two free parameters characterizing the density and the innermost boundary of the DM halo surrounding the BH.