Effect of the hair on deflection angle by asymptotically flat black holes in Einstein-Maxwell-dilaton theory

Understand

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.