Propagation peculiarities of mean field massive gravity

Understand

Massive gravity (mGR) describes a dynamical "metric" on a fiducial, background one.

• We investigate fluctuations of the dynamics about mGR solutions, that is about its "mean field theory".
• Analyzing mean field massive gravity propagation characteristics is not only equivalent to studying those of the full non-linear theory, but also in direct correspondence with earlier analyses of charged higher spin systems, the oldest example being the charged, massive spin 3/2 Rarita--Schwinger (RS) theory.
• The fiducial and mGR mean field background metrics in the mean field mGR model correspond to the RS Minkowski metric and external EM field.