# Strong gravitational lensing for the charged black holes with scalar hair

## TL;DR

This paper investigates how scalar hair affects gravitational lensing around charged black holes, revealing specific changes in photon sphere properties and image characteristics, with results applicable to Schwarzschild black holes under certain conditions.

## Contribution

It provides a detailed analysis of gravitational lensing in Einstein-Maxwell-Dilaton black holes with scalar hair, highlighting how scalar hair influences lensing observables and connecting to Schwarzschild solutions.

## Key findings

- Photon sphere radius increases with scalar hair
- Deflection angle decreases as scalar hair increases
- Results reduce to Schwarzschild case when scalar hair vanishes or coupling constants are specific

## Abstract

The strong gravitational lensing for charged black holes with scalar hair in Einstein-Maxwell-Dilaton theory are studied. We find, with the increase of scalar hair, that the radius of the photon sphere, minimum impact parameter, angular image position and relative magnitude increase, while the deflection angle and angular image separation decrease. Our results can be reduced to those of the Schwarzschild black hole in two cases, one of them is that the scalar hair disappears, the other is that the coupling constants take particular values with arbitrary scalar hair.