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    Images of the thin accretion disk around Kerr black holes coupled to time periodic scalar fields

    Galin N. Gyulchev1,2,*, Daniela D. Doneva3,4,†, Valentin O. Deliyski1,‡, Petya G. Nedkova1,§, and Stoytcho S. Yazadjiev1,5,∥

    • *Contact author: gyulchev@phys.uni-sofia.bg
    • †Contact author: daniela.doneva@uv.es
    • ‡Contact author: valentin.deliyski@phys.uni-sofia.bg
    • §Contact author: pnedkova@phys.uni-sofia.bg
    • ∥Contact author: yazad@phys.uni-sofia.bg

    Phys. Rev. D 114, 024074 – Published 27 July, 2026

    DOI: https://doi.org/10.1103/3xwd-4p4w

    Abstract

    We investigate the orbital structure and observable appearance of rotating Kerr black holes endowed with synchronized scalar hair described by two time-periodic scalar fields with a flat target-space geometry. The presence of scalar hair enriches the geodesic structure of the spacetime relative to the Kerr case and significantly modifies the emission properties of geometrically thin Novikov-Thorne accretion disks. Combining an analysis of timelike circular orbits with backward ray tracing, we show that the normalized Noether charge governs the morphology and luminosity of both prograde and counterrotating disks. In the strongly scalarized regime, additional light rings and modified circular-orbit regions produce multiple inner emitting zones and strongly enhanced redshift patterns that depart markedly from the Kerr prediction. The most pronounced deviations occur in the counterrotating sector, where scalar hair generates inner retrograde radiative rings with substantially enhanced luminosity and distinctive frequency-shift signatures. Even when the spacetime approaches the Kerr geometry at weaker scalarization, the retrograde disk remains highly sensitive to the presence of scalar hair. Our results demonstrate that geometrically thin accretion disks can provide robust observational diagnostics of synchronized scalar hair and may offer a promising avenue for testing tensor-multiscalar gravity with future horizon-scale black-hole imaging observations.

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