A note on "symmetric" vielbeins in bimetric, massive, perturbative and non perturbative gravities
General Relativity and Quantum Cosmology
2015-06-11 v2 High Energy Physics - Theory
Abstract
We consider a manifold endowed with two different vielbeins and corresponding to two different metrics and . Such a situation arises generically in bimetric or massive gravity (including the recently discussed version of de Rham, Gabadadze and Tolley), as well as in perturbative quantum gravity where one vielbein parametrizes the background space-time and the other the dynamical degrees of freedom. We determine the conditions under which the relation can be imposed (or the "Deser-van Nieuwenhuizen" gauge chosen). We clarify and correct various statements which have been made about this issue.
Keywords
Cite
@article{arxiv.1208.4493,
title = {A note on "symmetric" vielbeins in bimetric, massive, perturbative and non perturbative gravities},
author = {Cedric Deffayet and Jihad Mourad and George Zahariade},
journal= {arXiv preprint arXiv:1208.4493},
year = {2015}
}
Comments
20 pages. Section 7, prop. 6 and 7. added. Some results made more precise