Circular orbits and thin accretion disk around a quantum corrected black hole

Abstract

In this paper, we first consider the shadow radius of a quantum corrected black hole proposed recently, and provide a bound on the correction parameter ξ based on the observational data of Sgr A*. Then, the effects of the correction parameter on the energy, angular momenta and angular velocities of particles on circular orbits in the accretion disk are discussed. It is found that the correction parameter has significant effects on the angular momenta of particles on the circular orbits even in the far region from the black hole. It would be possible to identify the value of ξ by the observations of the angular momenta of particles in the disk. We also consider the impact of ξ on the radius of the innermost stable circular orbit and the radiative efficiency of the black hole. Then, the radiation properties of the accretion disk around the black hole are studied. The dependence of the observed radiation flux on the polar angle on the observation plane and the observed radiation flux of the direct image of the quantum black hole are illustrated. Finally, we consider how the correction parameter affect the emitted and observed radiation fluxes from a thin accretion disk around the black hole. Polynomial fitting functions are identified for the relations between the maxima of three typical radiation fluxes and the correction parameter.