Shadows of Rotating Black Hole Solution with a Dark Matter Halo

Abstract: In this paper, we start from static black hole (BH) immersed in a Dehnen-type dark matter (DM) halo and employ the Newman-Janis algorithm (NJA) to generate the rotating black hole solution with a dark matter halo. Then we study optical properties of newly obtained rotating BH in DM halo, including the shadow's geometrical shape, photon sphere and the dependence of the shadow radius from DM parameters. Additionally, assuming that spacetime of a supermassive black hole (SMBH) is described by the newly obtained rotating BH solution we analyze the parameters of the model with shadow size estimates based on the Event Horizon Telescope (EHT) observations of M87* and Sara* SMBHs.