Preprint Article Version 1 This version is not peer-reviewed

Effect of Non-Linear Electrodynamics on Weak Field Deflection Angle by Black Hole

Version 1 : Received: 12 November 2019 / Approved: 13 November 2019 / Online: 13 November 2019 (06:41:03 CET)

How to cite: Javed, W.; Hamza, A.; Övgün, A. Effect of Non-Linear Electrodynamics on Weak Field Deflection Angle by Black Hole. Preprints 2019, 2019110142 (doi: 10.20944/preprints201911.0142.v1). Javed, W.; Hamza, A.; Övgün, A. Effect of Non-Linear Electrodynamics on Weak Field Deflection Angle by Black Hole. Preprints 2019, 2019110142 (doi: 10.20944/preprints201911.0142.v1).

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 term of deflection angle in the week 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.

Subject Areas

weak gravitational lensing; asymptotically flat black hole; deflection angle; non-linear electrodynamics; Gauss-Bonnet theorem

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