Relativistic dust accretion onto a scale--dependent polytropic black hole

TL;DR

This paper investigates how scale-dependent modifications to black holes influence relativistic dust accretion, revealing that such dependencies alter velocity and density profiles, which are governed by specific running parameters.

Contribution

It introduces a model of scale-dependent black holes affecting dust accretion, highlighting the impact of scale dependence on accretion dynamics.

Findings

Radial velocity profiles are altered by scale dependence.

Energy density profiles are affected by the black hole's scale dependence.

Deviations are controlled by specific running parameters.

Abstract

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.