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arXiv · 1306.5903

Generalized interaction in multigravity

Steven Duplij·Albert Kotvytskiy
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Abstract

A general approach to description of multigravity models in D-dimensional space-time is presented. Different possibilities of generalization of the invariant volume are given. Then a most general form of the interaction potential is constructed, which for bigravity coincides with the Pauli-Fierz model. A thorough analysis of the model along the 3+1 expansion formalism is done. It is shown that the absence of ghosts the considered bigravity model is equivalent in the weak field limit to the massive gravity (the Pauli-Fierz model). Thus, on the concrete example it is shown, that the interaction between metrics leads to nonvanishing mass of graviton.

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Steven Duplij, Albert Kotvytskiy. 2013-06-25. Generalized interaction in multigravity. https://doi.org/10.1007/s11232-013-0112-3

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