Accretion in an asymptotically safe environment inspired by minimum measurable length

Abstract

We investigate the impact of the incorporation of minimum measurable length on accretion onto Schwarzschild black hole within the asymptotically safe ambiance. The Schwarzschild black hole is modified by the minimum measurable length associated with the generalized uncertainty principle (GUP), enabling it to accept the quantum gravity correction. We look at potential critical point locations and calculate the critical speed of the matter accreting. We determine the temperature and total integrated flux correction at the event horizon for the polytropic matter using the least measurable length conjecture offered by the GUP. We note that the incorporation of minimum measurable length has a significant impact on the accretion process. Furthermore, the quantum gravity regime associated with modification maintains an asymptotically safe ambiance.