Geodesic
Generalized interaction in multigravity
Teoretičeskaâ i matematičeskaâ fizika, Tome 177 (2013) no. 1, pp. 137-150

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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, invariant volume, interaction potential
Mots-clés : Pauli–Fierz model. 
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     author = {S. A. Duplij and A. T. Kotvitskii},
     title = {Generalized interaction in multigravity},
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     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2013_177_1_a6/}
}
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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/