Consistent massive graviton on arbitrary backgrounds
Abstract
We obtain the fully covariant linearized field equations for the metric perturbation in the de Rham-Gabadadze-Tolley (dRGT) ghost free massive gravities. For a subset of these theories, we show that the non dynamical metric that appears in the dRGT setup can be completely eliminated leading to the theory of a massive graviton moving in a single metric. This has a mass term which contains non trivial contributions of the space-time curvature. We show further how 5 covariant constraints can be obtained including one which leads to the tracelessness of the graviton on flat space-time and removes the Boulware-Deser ghost. The 5 constraints are obtained for a background metric which is arbitrary, i.e. which does not have to obey the background field equations.
Keywords
Cite
@article{arxiv.1410.8302,
title = {Consistent massive graviton on arbitrary backgrounds},
author = {Laura Bernard and Cedric Deffayet and Mikael von Strauss},
journal= {arXiv preprint arXiv:1410.8302},
year = {2015}
}
Comments
Latex, 5 pages. Matches published version