On null geodesics and shadow of hairy black holes in Einstein-Maxwell-dilaton gravity

Understand

The time-like and null-like geodesics around compact objects are some of the best tools to classify and understand the structure of a space-time.

• In this paper, we study the null geodesics around charged static dilaton black holes in Einstein-Maxwell-dilaton gravity.
• The physical parameters for non-radial geodesics including the effective potential, effective force, radius of the photon sphere and impact parameter are obtained and effects of the charge parameter and dilaton coupling constant on these quantities are studied.
• Possible photon motions for different values of the impact parameter are analyzed and unstable circular orbits and unbounded orbits are plotted.