Static Black Hole Solution with a Dark Matter Halo

Abstract: In this letter, we present a novel analytical Schwarzschild-like black hole (BH) solution that exhibits a static BH with a dark matter (DM) halo characterized by a Dehnen-type density profile. We study the properties of the newly derived BH solution by examining its spacetime curvature characteristics and energy conditions, providing insights into how the DM halo influences these fundamental characteristics. This solution could represent an alternative perspective on the interaction of black hole-dark matter systems, providing new insights into the fundamental properties of DM halos.