Quantum effects on the black hole shadow and deflection angle in presence of plasma

Abstract

In this paper, optical properties of renormalization group improved (RGI) Schwarzschild black hole (BH) are investigated in plasma medium. Starting from the equations of motions in plasma medium, we have shown how the shadow radius of the RGI black hole is modified. To this end, we have computed the deflection angle of light in the weak gravity regime for uniform and non-uniform plasma medium. Importantly, due to the plasma medium, we find that the equations of motions for light obtained from the radiating and infalling/rest gas has to be modified. This in turn, changes and modifies the expression for the intensity observed far away from the black hole. Finally, we have obtained the shadow images for the RGI black hole for different plasma models. Even thought, quantum effect changes the background geometry, these effects are very small and, practically, it is impossible to detect them with the present technology using the supermassive black hole shadows. The parameter $\Omega$ encodes the quantum effects and, in principle, one expects such quantum effects to play a significant role only for very small black holes. On the other hand, the effect of plasma medium can play important role on the optical appearance of black holes since they effect and modify the equations of motions.

11 pages, 10 figures, Accepted for publication in Chinese Physics C

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• How different are shadows of compact objects with and without horizons?
• Schwarzschild black hole surrounded by a cloud of strings in the background of perfect fluid dark matter
• Constraining a one-dimensional wave-type gravitational wave parameter through the shadow of M87* via Event Horizon Telescope
• Optical Appearance and Shadow of Kalb-Ramond Black Hole: Effects of Plasma and Accretion Models
• Observable Signatures of RN Black Holes with Dark Matter Halos via Strong Gravitational Lensing and Constraints from EHT Observations
• Shadow Cast by the Kerr MOG Black Hole under the Influence of Plasma and Constraints from EHT Observations
• Optical Signatures of Einstein-Euler-Heisenberg AdS/dS Black Holes in the light of Event Horizon Telescope