Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

# Effect of the Hair on Deflection Angle by Asymptotically Flat Black Holes in Einstein-Maxwell-Dilaton Theory

Version 1 : Received: 9 June 2019 / Approved: 12 June 2019 / Online: 12 June 2019 (04:10:32 CEST)

A peer-reviewed article of this Preprint also exists.

Journal reference: Phys. Rev. D 2019
DOI: 10.1103/PhysRevD.100.044052

## Abstract

In this paper, we are interested in a model of exact asymptotically flat charged hairy black holes in the background of dilaton potential. We study the weak gravitational lensing in the spacetime of hairy black hole in Einstein-Maxwell theory with a non-minimally coupled dilaton and its non-trivial potential. In doing so, we use the optical geometry of the flat charged hairy black hole for some range of parameter $\gamma$. For this purpose, by using Gauss-Bonnet theorem, we obtain the deflection angle of photon in a spherically symmetric and asymptotically flat spacetime. Moreover, we also investigate the impact of plasma medium on weak gravitational lensing by asymptotically flat charged hairy black hole with a dilaton potential. Our analytically analyses show the effect of the hair on the deflection angle in weak field limits.

## Subject Areas

elativity and gravitation; classical black hole; deflection angle; Gauss-Bonnet; non-linear electrodynamics

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