Constraints from Solar System tests on a covariant loop quantum black hole

Abstract

Recently, a covariant spherically symmetric model of a black hole within the framework of loop quantum gravity (LQG), characterized by a quantum parameter ${r}_{0}$ or $\ensuremath{\lambda}$, has been proposed. To derive constraints on the LQG-corrected parameter, we explore observational constraints imposed on ${r}_{0}$ and $\ensuremath{\lambda}$ through investigations of the light deflection, the Shapiro time delay, the precession of perihelia, and the geodetic precession test. Among these constraints, the tightest one arises from the Shapiro time delay measured by the Cassini mission, yielding an upper constraint of approximately ${10}^{\ensuremath{-}5}$.