Gravito-Electromagnetism (GEM) Weak (Linearizable) Slowly Changing Gravitation

Instead of imagining space-time as being warped by mass and energy, one can speak of a classical spin-2 graviton field (in flat, Minkowski space-time) that generates gravitation. Although we don’t know yet how to quantize this field, we can think of it in a way similar to how we think of electromagnetism being mediated by photons. And just as a 1/r2 Coulomb force generates magnetism when the finite speed of the mediating photon is taken into account1, a 1/r2 Newtonian gravitational force generates “gravito-magnetism” when the finite speed of the mediating graviton is taken into account. Magnetism is fundamentally an electric-force effect2, and gravity must have some analogous “magnetic” force, meaning a gravitational force proportional and perpendicular to the velocity of a test mass. Einstein showed that gravity should be non-linear, so we know that the graviton should self-interact. (General relativity also implies that the graviton should be spin 2.) Taking that self-interaction (and spin-2) into account should bring us all the way to the equivalent of general relativity. But it may be that in most of the