Generalized interaction in multigravity
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.
Keywords
Cite
@article{arxiv.1306.5903,
title = {Generalized interaction in multigravity},
author = {Steven Duplij and Albert Kotvytskiy},
journal= {arXiv preprint arXiv:1306.5903},
year = {2014}
}
Comments
12 pages (in Russian), accepted for publication in May 2013, to appear in "Theoretical and Mathematical Physics" (in Russian and English)