Shadow and gravitational weak lensing around a quantum-corrected black hole surrounded by a plasma

Abstract

Abstract In this paper, we delve into the optical properties of a quantum-corrected black hole (BH) in loop quantum gravity, surrounded by a plasma medium. We first determine the photon and shadow radii resulting from quantum corrections and the plasma medium in the environment surrounding a quantum-corrected BH. We find that the photon sphere and the BH shadow radii decrease due to the quantum correction parameter $\alpha$ acting as a repulsive gravitational charge. We further delve into the gravitational weak lensing by applying the general formalism used to model the deflection angle of the light traveling around the quantum-corrected BH placed in the plasma medium. We show, in conjunction with the fact that the combined effects of the quantum correction and non-uniform plasma frequency parameter can decrease the deflection angle, that the light traveling through the uniform plasma can be strongly deflected compared to the non-uniform plasma environment surrounding the quantum-corrected BH. Finally, we consider the magnification of the lensed image brightness under the effect of the quantum correction parameter $\alpha$, together with the uniform and non-uniform plasma effects.