Gravitational weak lensing of hairy black hole in presence of plasma.

Gravitational weak lensing around a hairy black hole has been deeply studied in the presence of a plasma medium. The obtained results have shown that the effect of parameters a and l 0 on the deflection angle of light rays around the black hole in hairy spacetime is perceptible. With an increase of parameter a the deflection angle of photon orbits decreases, and the effect of plasma on the deflection angle is the opposite. Here, we discussed different types of plasma distributions: uniform ω e = c o n s t , Singular Isothermal Sphere medium, 1 / r and Non-Singular Isothermal gas sphere plasma. Additionally, The total magnification of the image source due to gravitational lensing has been also studied taking into account the effect of deviation parameter a and parameter l 0 related to hairy spacetime in the presence of plasma around the black hole. • Gravitational weak lensing around a hairy black hole has been deeply studied in the presence of a plasma medium. • The obtained results have shown that the effect of parameters a and I 0 on the deflection angle of light rays around the black hole in hairy spacetime is perceptible. • Here, we discussed different types of plasma distributions: uniform ω e = const , Singular Isothermal Sphere medium, 1 /r, and Non-Singular Isothermal gas sphere plasma. • The total magnification of the image source due to gravitational lensing has been also studied. [ABSTRACT FROM AUTHOR]