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I have no formal education in GR, but since I need to use the TOV equation for the modeling I have picked up what I could. I also have no formal education in nuclear physics.

Currently as I understand it, all energies cause gravity. But now I am trying to understand what a negative potential energy means. For example, if we assume positrons and electrons have the exact same rest mass in a flat space time at infinity, and we consider a small charge neutral test mass, sufficiently far away, does a positron-positron system exert a greater gravitational "force" on the test mass than an electron-positron system because of the difference in coulomb potential energy?

A follow up question would be if there are differences, does a region of negative energy density repel objects?