Precession of bounded orbits and shadow in quantum black hole spacetime

The geodesics around compact objects are one of the best tools to understand the geometrical properties of the central gravity source. In this paper, we study timelike and lightlike geodesics of a quantum black hole proposed in [E. Binetti et al., Phys. Rev. D 106, 046006 (2022).], which does not require committing to a specific model of quantum gravity. We analyze the quantum correction on the related obsrevables: periapsis precession of bounded orbits and angular shadow size. We find that, compared to the classical case, the quantum correction will enhance the periapsis precession as well as the black hole shadow. This effect is more significant for a smaller quantum black hole.