Skip to Main content Skip to Navigation
Journal articles

A note on "symmetric" vielbeins in bimetric, massive, perturbative and non perturbative gravities

Abstract : We consider a manifold endowed with two different vielbeins {E^A}_{μ } and {L^A}_{μ } corresponding to two different metrics {g_{{μ ν }}} and f μν . 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 {g^{{μ ν }}}{E^A}_{μ }{L^B}_{ν }={g^{{μ ν }}}{E^B}_{μ }{L^A}_{ν } can be imposed (or the "Deser-van Nieuwenhuizen" gauge chosen). We clarify and correct various statements which have been made about this issue. We show in particular that in D = 4 dimensions, this condition is always equivalent to the existence of a real matrix square root of {g^{-1 }} f.
Complete list of metadatas

http://hal.in2p3.fr/in2p3-00903697
Contributor : Alina Deniau <>
Submitted on : Tuesday, November 12, 2013 - 5:51:24 PM
Last modification on : Wednesday, October 21, 2020 - 4:32:12 PM

Links full text

Identifiers

Citation

C. Deffayet, J. Mourad, G. Zahariade. A note on "symmetric" vielbeins in bimetric, massive, perturbative and non perturbative gravities. Journal of High Energy Physics, Springer, 2013, 2013, pp.86. ⟨10.1007/JHEP03(2013)086⟩. ⟨in2p3-00903697⟩

Share

Metrics

Record views

444