Exact Solution to the "Auxiliary Extra Dimension" Model of Massive Gravity
High Energy Physics - Theory
2011-07-26 v3
Abstract
The "Auxiliary Extra Dimension" model was proposed in order to provide a geometrical interpretation to modifications of general relativity, in particular to non-linear massive gravity. In this context, the theory was shown to be ghost free to third order in perturbations, in the decoupling limit. In this work, we exactly solve the equation of motion in the extra dimension, to obtain a purely 4-dimensional theory. Using this solution, it is shown that the ghost appears at the fourth order and beyond. We explore potential modifications to address the ghost issue and find that their consistent implementation requires going beyond the present framework.
Keywords
Cite
@article{arxiv.1104.1373,
title = {Exact Solution to the "Auxiliary Extra Dimension" Model of Massive Gravity},
author = {S. F. Hassan and Rachel A. Rosen},
journal= {arXiv preprint arXiv:1104.1373},
year = {2011}
}
Comments
v3:8 pages, LaTex, a comment and a reference added, version to appear in PLB