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As is well known, both massive gravity and bigravity exhibit the linear vanDam-Veltman-Zakharov (vDVZ) discontinuity that is cured classically by thenonlinear Vainshtein mechanism due to certain low scale strongly coupledinteractions. Here we show how both the vDVZ and strong coupling problems canbe removed by embedding 4D covariant massive gravity into a certain 5D warpedgeometry. The 4D theory is a nonlinear strongly coupled massive gravity, thatis being coupled to a 5D bulk theory that generates a bulk graviton mass via aone loop diagram. This induced mass leads to an additional 4D kinetic term forthe 4D longitudinal mode, even on flat space. Due to this kinetic term the 4Dmassive theory becomes weakly coupled all the way up to a high energy scale setby the bulk cosmological constant. The same effect leads to a suppression ofthe interactions of the 4D longitudinal mode with a 4D matter stress-tensor,thus removing the vDVZ discontinuity. The proposed mechanism has a pure 4Dholographic interpretation: a 4D nonlinear massive gravity mixes to anon-conserved symmetric tensor of a 4D CFT that has a cutoff; the latter mixinggenerates a large kinetic term for the longitudinal mode, and this makes thelongitudinal mode be weakly coupled to a matter stress-tensor, and weaklyself-coupled, all the way up to the scale of the 4D CFT cutoff.

Resolving the vDVZ and Strong Coupling Problems in Massive Gravity and Bigravity