Geodesic
Generalized interaction in multigravity
Teoretičeskaâ i matematičeskaâ fizika, Tome 177 (2013) no. 1, pp. 137-150 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider a general approach to describing the interaction in multigravity models in a $D$-dimensional space–time. We present various possibilities for generalizing the invariant volume. We derive the most general form of the interaction potential, which becomes a Pauli–Fierz-type model in the bigravity case. Analyzing this model in detail in the $(3{+}1)$-expansion formalism and also requiring the absence of ghosts leads to this bigravity model being completely equivalent to the Pauli–Fierz model. We thus in a concrete example show that introducing an interaction between metrics is equivalent to introducing the graviton mass.
Keywords: multigravity, bigravity, massive gravity, interaction potential
Mots-clés : invariant volume, Pauli–Fierz model. 
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S. A. Duplij; A. T. Kotvitskii. Generalized interaction in multigravity. Teoretičeskaâ i matematičeskaâ fizika, Tome 177 (2013) no. 1, pp. 137-150. http://geodesic.mathdoc.fr/item/TMF_2013_177_1_a6/

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