Bi-gravity with a single graviton Auteur(s): Alexandrov S., Speziale Simone (Article) Publié: Journal Of High Energy Physics, vol. p.070 (2019) Texte intégral en Openaccess : Ref HAL: hal-02114493_v1 Ref Arxiv: 1904.11906 DOI: 10.1007/JHEP08(2019)070 WoS: WOS:000483191300001 Ref. & Cit.: NASA ADS Exporter : BibTex | endNote 1 Citation Résumé: We analyze a bi-gravity model based on the first order formalism, having as fundamental variables two tetrads but only one Lorentz connection. We show that on a large class of backgrounds its linearization agrees with general relativity. At the non-linear level, additional degrees of freedom appear, and we reveal the mechanism hiding them around the special backgrounds. We further argue that they do not contain a massive graviton, nor the Boulware-Deser ghost. The model thus propagates only one graviton, whereas the nature of the additional degrees of freedom remains to be investigated. We also present a foliation-preserving deformation of the model, which keeps all symmetries except time diffeomorphisms and has three degrees of freedom. Commentaires: 29 pages |