|
This article is cited in 1 scientific paper (total in 1 paper)
Generalized interaction in multigravity
S. A. Duplij, A. T. Kotvitskii Karazin Kharkov State University, Kharkov, Ukraine
Abstract:
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, Pauli–Fierz model.
Received: 26.02.2013 Revised: 21.05.2013
Citation:
S. A. Duplij, A. T. Kotvitskii, “Generalized interaction in multigravity”, TMF, 177:1 (2013), 137–150; Theoret. and Math. Phys., 177:1 (2013), 1400–1411
Linking options:
https://www.mathnet.ru/eng/tmf8523https://doi.org/10.4213/tmf8523 https://www.mathnet.ru/eng/tmf/v177/i1/p137
|
Statistics & downloads: |
Abstract page: | 376 | Full-text PDF : | 165 | References: | 43 | First page: | 25 |
|