GRAVITATIONAL POTENTIAL: A CONGLOMERATE OF STRESS TYPES.
Rigorously, all EM potentials are actually part of the overall 5-dimensional gravitational potential.
There is no such thing as "the" singular gravitational potential: instead, it is a conglomerate of different stress types and patterns, each of which is named for the type of action that produces it.
Electromagnetic potentials, for example, are created by the movement of charged particles. At any point in vacuum, the potential consists of a flux of virtual particles.
The vacuum contains a great variety of particle fluxes. There are virtual photons, virtual electrons, virtual positrons, virtual protons, virtual pions, virtual neutrinos, etc.
The conglomerate stress from all these virtual particle stresses constitutes the overall gravitational potential.