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

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Published 7 January 2015 , , Citation Johannes Noller and Scott Melville JCAP01(2015)003 DOI 10.1088/1475-7516/2015/01/003

1475-7516/2015/01/003

Abstract

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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10.1088/1475-7516/2015/01/003