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.