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Weak Deflection angle of some classes of non-linear electrodynamics black holes via Gauss-Bonnet Theorem

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arxiv 2008.06711 v1 pith:VCOLKCOT submitted 2020-08-15 gr-qc

classification gr-qc
keywords angledeflectionelectrodynamicsnon-linearweakblackclassesfield
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In this paper, we study the gravitational lensing by some black hole classes within the non-linear electrodynamics in weak field limits. First, we calculate an optical geometry of the non-linear electrodynamics black hole then we use the Gauss-Bonnet theorem for finding deflection angle in weak field limits. The effect of non-linear electrodynamics on the deflection angle in leading order terms is studied. Furthermore, we discuss the effects of the plasma medium on the weak deflection angle.

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