Scattering of quantum fields by a MOG Black Hole

Abstract: This paper aims to investigate the scattering of fermions by spherically symmetric MOG black holes, which are a type of black holes encountered in scalar-tensor-vector modified gravitational theories. After determining the scattering modes in this black hole geometry, we apply the partial wave method to compute analytical expressions for the phase shifts that enter into the definition of scattering amplitudes. An analysis of the influence of the MOG parameter $\alpha$ on the differential scattering cross section and the induced polarization is conducted. Also, a comparison with Schwarzschild scattering (for which $\alpha = 0$) is performed. Furthermore, it is also shown that glory and spiral/orbiting scattering are more significant for higher values of the free parameter $\alpha$.