Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Weak Deflection Angle of some Classes of non-linear Electrodynamics Black Holes via Gauss-Bonnet Theorem

Version 1 : Received: 15 August 2020 / Approved: 18 August 2020 / Online: 18 August 2020 (03:00:48 CEST)

How to cite: El Moumni, H.; Masmar, K.; Övgün, A. Weak Deflection Angle of some Classes of non-linear Electrodynamics Black Holes via Gauss-Bonnet Theorem. Preprints 2020, 2020080370 (doi: 10.20944/preprints202008.0370.v1). El Moumni, H.; Masmar, K.; Övgün, A. Weak Deflection Angle of some Classes of non-linear Electrodynamics Black Holes via Gauss-Bonnet Theorem. Preprints 2020, 2020080370 (doi: 10.20944/preprints202008.0370.v1).

Abstract

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.

Subject Areas

weak deflection angle; Gauss-Bonnet theorem; nonlinear electrodynamics; gravitational lensing

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