Relativistic dust accretion onto a scale-dependent polytropic black hole

In this work we study steady and spherical relativistic dust accretion onto a static and spherically symmetric scale-dependent black hole. In particular we consider a polytropic scale-dependent black hole as a central object and obtain that the radial velocity profile and the energy density are affected when scale-dependence of the central object is taken into account and such a deviation is controlled by the so called running parameters of the scale-dependence models.