Optical properties of Euler-Heisenberg black hole in the Cold Dark Matter Halo

The optical properties of Euler-Heisenberg (EH) black hole (BH) surrounded by Cold Dark Matter (CDM) halo are investigated. By changing BH's parameters, we found that the radius of horizon rₕ and radius of photon sphere rₚₕ will transparently increase as CDM halo parameters R and ρ increase. To show the influence of CDM halo on the BH's optical characteristics, we took two sets of R and ρ with prominent differences and plot the first four orders of images for thin accretion disk with different angle of inclination θ of observer. The images with light intensity distributions using Novikov-Thorne (N-T) model are also derived, as well as the effective potential, photon orbits. Especially, analysis of intersection behaviors between photon trajectories with different impact parameters and circular time-like orbits in accretion disk will help better understand the image of thin accretion disk. Our results showed that CDM halo will make BH become more larger and dimmer distinctly.