Bi-gravity with a single graviton

Fuente: arXiv
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Autori principali: Alexandrov, Sergei, Speziale, Simone
Natura: Preprint
Pubblicazione: 2019
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author Alexandrov, Sergei
Speziale, Simone
author_facet Alexandrov, Sergei
Speziale, Simone
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_1904_11906
institution arXiv
publishDate 2019
record_format arxiv
spellingShingle Bi-gravity with a single graviton
Alexandrov, Sergei
Speziale, Simone
High Energy Physics - Theory
General Relativity and Quantum Cosmology
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.
title Bi-gravity with a single graviton
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/1904.11906