%0 Journal Article
%T Bi-gravity with a single graviton
%+ Laboratoire Charles Coulomb (L2C)
%+ Centre de Physique Théorique - UMR 7332 (CPT)
%+ CPT - E4 Gravité quantique
%A Alexandrov, Sergey
%A Speziale, Simone
%Z 29 pages
%< avec comité de lecture
%Z L2C:19-063
%@ 1126-6708
%J Journal of High Energy Physics
%I Springer
%N 8
%P 070
%8 2019-08-13
%D 2019
%Z 1904.11906
%R 10.1007/JHEP08(2019)070
%K Classical Theories of Gravity
%K Cosmology of Theories beyond the SM
%Z Physics [physics]/High Energy Physics - Theory [hep-th]
%Z Physics [physics]/General Relativity and Quantum Cosmology [gr-qc]Journal articles
%X 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.
%G English
%2 https://hal.science/hal-02114493/document
%2 https://hal.science/hal-02114493/file/Alexandrov-Speziale2019_Article_Bi-gravityWithASingleGraviton.pdf
%L hal-02114493
%U https://hal.science/hal-02114493
%~ UNIV-TLN
%~ CNRS
%~ UNIV-AMU
%~ CPT
%~ L2C
%~ MIPS
%~ UNIV-MONTPELLIER
%~ CPT-GQ
%~ UM-2015-2021