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<p>In this paper, we study the quantum effects of electromagnetic and gravitational forces in a charged black hole spacetime in the asymptotic regime. We consider the equatorial plane of the quantum-corrected charged black hole and use the optical metric’s Gaussian curvature. We apply the Ricci scalar of the optical metric and the Gauss–Bonnet theorem, also known as the Gibbons–Werner strategy, to examine the angle of light deflection in the weak field limit. Furthermore, we investigate the impact of non-magnetic plasma and dark matter on the weak-angle deflection of light by the quantum-corrected charged BH. Moreover, the ray-tracing strategy employs the Hamiltonian equation to determine the photon orbit and the shadow of a quantum-corrected charged black hole in the presence of non-magnetic plasma, black hole geometry, and the photon radius. We also graphically analyse the impacts of parameters on the deflection angle and the black hole shadow and show the quantum-corrected charged black hole shadow effect on the emission energy spectrum from the observers at a finite distance.</p>

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Deflection of photon and shadow cast for black hole spacetime under the impact of a dispersive medium

  • 期刊论文

  • 发表日期：

    2026年1月21日

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  • Riasat Ali,
  • Xia Tiecheng,
  • Muhammad Awais,
  • Rimsha Babar

摘要

In this paper, we study the quantum effects of electromagnetic and gravitational forces in a charged black hole spacetime in the asymptotic regime. We consider the equatorial plane of the quantum-corrected charged black hole and use the optical metric’s Gaussian curvature. We apply the Ricci scalar of the optical metric and the Gauss–Bonnet theorem, also known as the Gibbons–Werner strategy, to examine the angle of light deflection in the weak field limit. Furthermore, we investigate the impact of non-magnetic plasma and dark matter on the weak-angle deflection of light by the quantum-corrected charged BH. Moreover, the ray-tracing strategy employs the Hamiltonian equation to determine the photon orbit and the shadow of a quantum-corrected charged black hole in the presence of non-magnetic plasma, black hole geometry, and the photon radius. We also graphically analyse the impacts of parameters on the deflection angle and the black hole shadow and show the quantum-corrected charged black hole shadow effect on the emission energy spectrum from the observers at a finite distance.