Generalization of the Fierz-Pauli action

@article{Rham2010GeneralizationOT,
  title={Generalization of the Fierz-Pauli action},
  author={Claudia de Rham and Gregory Gabadadze},
  journal={Physical Review D},
  year={2010},
  volume={82},
  pages={044020}
}
We consider the Lagrangian of gravity covariantly amended by the mass and polynomial interaction terms with arbitrary coefficients and reinvestigate the consistency of such a theory in the decoupling limit, up to the fifth order in the nonlinearities. We calculate explicitly the self-interactions of the helicity-0 mode, as well as the nonlinear mixing between the helicity-0 and -2 modes. We show that ghostlike pathologies in these interactions disappear for special choices of the polynomial… 

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