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The feature of the observed shadows and rings of an astrophysical black hole(BH) may depend on its accretion flows and magnetic charge. We find that theshadow radii and critical impact parameters of the Hayward BH are decreasedwith the increase of the magnetic charge. Comparing the Schwarzschild BH withthe Hayward BH using the ray-tracing method, we show that the density anddeflection of lights increase with the magnetic charge, and the BH singularitydoes not affect the generation of the shadow. Based on three optically thinaccretion flow models, the two-dimensional shadows in celestial coordinates arederived. It is found that the shadow and photon ring luminosities of a HaywardBH surrounded by infalling spherical accretion flow are dimmer than that of astatic spherical accretion flow. Taking three kinds of inner radii at which theaccretion flow stops radiating, we find that the observed luminosity of aHayward BH surrounded by a thin disk accretion flow is dominated by the directemission, and the photon ring emission has a weak influence on it. Theseresults suggest that the size of the observed shadow is related to thespace-time geometry, and the luminosities of both the shadows and rings areaffected by the accretion flow property and the BH magnetic charge.

Influence of Accretion Flow and Magnetic Charge on the Observed Shadows and Rings of the Hayward Black Hole