Coherent Structures and Energy Exchange near Rotating Black Holes

A theoretical model is presented describing the nonlinear dynamics of fields and the formation of spatial structures near the event horizon of Kerr black holes. Within the framework of the covariant Ginzburg–Landau equation for a complex field A interacting with a slowly varying background variable X reflecting curvature or density feedback, metastable states and rotating spiral structures are identified. Their evolution is determined by the effects of inertial frame dragging and superradiant amplification in Kerr geometry. The resulting self-organized configurations exhibit a quasi-periodic exchange of energy and angular momentum between A and X, generating partially coherent oscillations analogous to combined gravitational and electromagnetic wave signals. The model forms a unified representation linking near-horizon morphology, nonlinear wave coherence, and spin-dependent spectral features of the radiation from rotating black holes.