Study of quantum gravity correction to the accretion onto the black hole in the GUP framework

Abstract

We study the quantum gravity correction to the accretion onto the modified Schwarzschild black hole in the GUP framework. The GUP which is associated with the minimum measurable length modifies the Schwarzschild black hole which gets endowed with quantum gravity correction. We examine the possible positions of critical points and obtain the critical velocity. For polytropic matter, we compute the correction to the temperature and the total integrated flux at the event horizon with reference to the minimum measurable length. We observe that accretion has a crucial dependence on the quantum effect of gravity marked by the GUP parameter.