AT4 - Localized self-gravitating field systems in the Einstein and alternatives theories of gravity |
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Speaker |
Deffayet, Cédric |
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Coauthors |
Bernard, Laura; von Strauss, Mikael. |
| Talk Title |
Consistent massive graviton on arbitrary backgrounds |
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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 nondynamical 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 nontrivial contributions of the space-time curvature. We show further how five 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 five constraints are obtained for a background metric which is arbitrary, i.e. which does not have to obey the background field equations. |
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