Absorption of planar waves in conformal gravity space–time

Abstract

Conformal gravity (CG) has attracted considerable interest as a compelling alternative to general relativity. We investigate the massless scalar planar wave scattering in Mannheim–Kazanas (MK) space–time of CG theory. We give different transmission coefficient as parameter $$\gamma r_0$$ and $$\kappa r_0^2$$ changed. Using partial-wave method, we obtain the absorption cross section, we find for larger angular momentum quantum numbers l, the corresponding maximum values of partial absorption cross section are smaller, the smaller of $$\gamma r_0$$ are, the larger the partial absorption cross section are, while parameter $$\kappa r_0^2$$ display the inverse situation.