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We put model-independent, dynamical constraints on the net electric charge Qof some astronomical and astrophysical objects by assuming that their exteriorspacetimes are described by the Reissner-Nordstroem metric, which induces anadditional potential U_RN \propto Q^2 r^-2. Our results extend to otherhypothetical power-law interactions inducing extra-potentials U_pert = r^-2 aswell (abridged).

general relativity and gravitation

Constraining the electric charges of some astronomical bodies in  Reissner-Nordstrom spacetimes and generic r^-2-type power-law potentials from  orbital motions