Effect of Non-linear Electrodynamics on Weak field deflection angle by Black Hole

Abstract

In this work, we investigate the weak deflection angle of light from exact black hole within the non-linear electrodynamics. First we calculate the Gaussian optical curvature using the optical spacetime geometry. With the help of modern geometrical way popularized by Gibbons and Werner, we examine the deflection angle of light from exact black hole. For this desire, we determine the optical Gaussian curvature and execute the Gauss-Bonnet theorem on optical metric and calculate the leading terms of deflection angle in the weak limit approximation. Furthermore, we likewise study the plasma medium's effect on weak gravitational lensing by exact black hole. Hence we expose the effect of the non-linear electrodynamics on the deflection angle in the weak gravitational field.

12 pages. Accepted for publication in Physical Review D (https://journals.aps.org/prd/abstract/10.1103/PhysRevD.101.103521)

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• Dark matter effect on the weak deflection angle by black holes at the center of Milky Way and M87 galaxies
• Weak deflection angle of Kazakov-Solodukhin black hole in plasma medium using Gauss-Bonnet theorem and its greybody bonding
• Black Hole Shadow in Symmergent Gravity
• 4D scale-dependent Schwarzschild-AdS/dS black holes: study of shadow and weak deflection angle and greybody bounding
• Deflection angle and shadow of the Reissner-Nordström black hole with higher-order magnetic correction in Einstein-nonlinear-Maxwell fields
• Effect of the magnetic charge on weak deflection angle and greybody bound of the black hole in Einstein-Gauss-Bonnet gravity
• Weak deflection angle by Kalb-Ramond Traversable Wormhole in Plasma and Dark Matter Mediums
• Weak Deflection Angle and Greybody Bound of Magnetized Regular Black Hole
• Probing Effective Loop Quantum Gravity on Weak Gravitational Lensing, Hawking Radiation and Bounding Greybody Factor by Black Holes
• Deriving Weak Deflection Angle by Black Holes or Wormholes using Gauss-Bonnet Theorem
• Weak deflection angle by asymptotically flat black holes in Horndeski theory using Gauss-Bonnet theorem
• Light deflection by squashed Kaluza-Klein black holes in a plasma medium
• Scattering properties of charged black holes in nonlinear and Maxwell's electrodynamics