Thermodynamical character and the radiation process of the thin accretion disk of minimum measurable length-inspired regular black hole

Abstract

We investigate the impact of quantum gravity on the thermodynamic characteristics and radiation processes of thin accretion disks surrounding Schwarzschild-like black holes. To incorporate quantum gravity into our study, we apply the framework of generalization of uncertainty, which is equivalent to the renormalization group improved quantum gravity and maintains the limit of asymptotically safe preposition of gravity. A free parameter, reflecting the quantum effects on spacetime geometry, is introduced to enable the study of the thermal properties of the black hole itself and the accretion disk surrounding it at the quantum level. We explicitly calculate the entropy, temperature, free energy, and enthalpy of the modified black hole and show how they vary with the free parameter encoding the quantum effects. Moreover, we provide estimations of the quantum correction to the time-averaged energy flux, temperature of the disk, differential luminosity, and the conversion efficiency of accretion mass into radiation. We observe a conspicuous shifting of the radius of the innermost stable circular orbit (ISCO) toward small values together with an enhancement of the maximum values of the average thermal radiation and greater conversion efficiency of accreting mass into radiation compared to the classical gravity scenario.