Self-accelerating Massive Gravity: Covariant Perturbation Theory
arXiv:1409.2204 · doi:10.1103/PhysRevD.90.104027
Abstract
We undertake a complete and covariant treatment for the quadratic Lagrangian of all of the degrees of freedom of massive gravity with a fixed flat fiducial metric for arbitrary massive gravity parameters around any isotropic self-accelerating background solution. Generically, 3 out of 4 Stuckelberg degrees of freedom propagate in addition to the usual 2 tensor degrees of freedom of general relativity. The complete kinetic structure typically is only revealed at an order in the graviton mass that is equivalently to retaining curvature terms in a locally flat expansion. These results resolve several apparent discrepancies in the literature where zero degrees of freedom propagate in either special cases or approximate treatments as well as decoupling limit analyses which attempt to count longitudinal degrees of freedom.
13 pages, no figures, in the new version we have extended the analysis to the full set of massive gravity parameters
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- Fundamental theorem on gauge fixing at the action level
- Cosmology in bimetric theory with an effective composite coupling to matter
- Cosmological perturbations in massive gravity with doubly coupled matter
- Revisiting perturbations in extended quasidilaton massive gravity
- Role of matter in extended quasidilaton massive gravity