The coupling to matter in massive, bi- and multi-gravity

@inproceedings{Noller2015TheCT,
  title={The coupling to matter in massive, bi- and multi-gravity},
  author={Johannes Noller and Scott A Melville},
  year={2015}
}
In this paper we construct a family of ways in which matter can couple to one or more `metrics'/spin-2 fields in the vielbein formulation. We do so subject to requiring the weak equivalence principle and the absence of ghosts from pure spin-2 interactions generated by the matter action. Results are presented for Massive, Bi- and Multi-Gravity theories and we give explicit expressions for the effective matter metric in all of these cases. 

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