A rotating black hole sings a specific melody that changes its tune when invisible dark matter is nearby.
Dark matter halos exert a physical drag on black hole vibrations known as quasibound states. Most models assume dark matter is too ghostly to affect these massive objects in a measurable way. This research proves that the spectral fingerprint of a black hole actually shifts based on the density and shape of the dark matter surrounding it. Astronomers can now use gravitational wave detectors to map the distribution of the universe's most mysterious substance without ever seeing it. This turns every spinning black hole into a high-precision scale for the dark universe.
The Melody of Rotating Black Holes in a Dark Universe
SSRN · 6726763
We investigate the spectral dynamics of a rotating black hole immersed in a King dark matter halo, where quasibound states and superradiant scattering together characterize the response of the system. Starting from an exact Schwarzschild--King solution derived from the Einstein equations, we construct its rotating counterpart via the Newman--Janis algorithm, providing a consistent gravitational background for probing scalar-field dynamics in a dark matter environment. Using the analytical asympt