GUP inspired asymptotic safety in the radiation process of thin accretion disk around a Schwarzschild-like black hole

Abstract

We study quantum gravity effects on radiation process of the thin accretion disks around Schwarzschild like black-hole. The quantum gravity correction is invoked through the framework of generalization of uncertainty which is equivalent to renormalization group improved quantum gravity and maintain the limit of the asymptotically safe preposition of gravity. It admits a free parameter that encodes the quantum effects on the spacetime geometry. It allows us to study how the thermal properties of the disk are modified in the quantum regime. We explicitly make estimations of quantum correction to the time averaged energy flux, the temperature of the disk, the differential luminosity, and the conversion efficiency of accreting 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 of the values of the average thermal radiation and greater conversion efficiency of accreting mass into radiation compared to the classical gravity scenario.