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The null geodesics of the regular and rotating magnetically charged blackhole in a non-minimally coupled Einstein-Yang-Mills theory surrounded by aplasma medium is studied. The effect of magnetic charge and Yang-Millsparameter on the effective potential and radius of photon orbits hasinvestigated. We then study the shadow of a regular and rotating magneticallycharged black hole along with the observables in presence of the plasma medium.The presence of plasma medium affects the apparent size of the shadow of aregular rotating black hole in comparison to vacuum case. Variation of shadowradius and deformation parameter with Yang-Mills and plasma parameter hasexamined. Furthermore, the deflection angle of the massless test particles inweak field approximation around this black hole spacetime in presence ofhomogeneous plasma medium is also investigated. Finally, we have compared theobtained results with Kerr-Newman and Schwarzschild black hole solutions ingeneral relativity (GR).

the european physical journal plus

Shadow and weak gravitational lensing of a rotating regular black hole  in a non-minimally coupled Einstein-Yang-Mills theory in the presence of  plasma