Tuning A Rotating Black Hole Spectrum with Dark Matter Halo: Quasibound States, Scalar Cloud, Black Hole Bomb and Superradiant Scattering
This paper investigates how a rotating black hole embedded in a Dehnen dark matter halo exhibits modified quasibound state spectra and superradiant scattering, demonstrating that the halo's density and profile parameters act as an environmental tuner that systematically shifts binding energies, alters instability thresholds, and narrows the superradiant amplification window.