Is it possible that in a theory of gravitons, i.e., a quantum field theory of gravitation, general relativity's principle of the equivalence of gravitational mass and inertial mass, no longer holds?
On the contrary Deser and others [1, and refs therein] have argued that trying to construct a theory of a graviton, that is, a massless spin-2 field in a flat background, consistent with special relativity, then "[c]onsistency [leads] us to universal coupling, which implies the equivalence principle" . The argument is summarized by MTW [2, Box 17.2.5, see also Box 18.2, and refs therein]. More concretely, the conclusion is that the field equations for the graviton field must be the Einstein field equations with the source being the stress-energy tensor.
- Deser, S. (1970). Self-interaction and gauge invariance. General Relativity and gravitation, 1(1), 9-18.
- Misner, C. W., Thorne, K. S., & Wheeler, J. A. (1973). Gravitation. Macmillan.