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

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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.