Degrees of Freedom in Massive Gravity
arXiv:1204.1027 · doi:10.1103/PhysRevD.86.101502
Abstract
We study in a systematic way a generic nonderivative (massive) deformation of general relativity using the Hamiltonian formalism. The number of propagating degrees of freedom is analyzed in a nonperturbative and background independent way. We show that the condition of having only five propagating degrees of freedom can be cast in a set of differential equations for the deforming potential. Though the conditions are rather restrictive, many solutions can be found.
5 pages. Final version published in PRD rapid communications
References in corpus (20)
- Resummation of Massive Gravity
- Resolving the Ghost Problem in non-Linear Massive Gravity
- Effective Field Theory for Massive Gravitons and Gravity in Theory Space
- Confirmation of the Secondary Constraint and Absence of Ghost in Massive Gravity and Bimetric Gravity
- Ghost-free Massive Gravity with a General Reference Metric
- Infrared-modified gravities and massive gravitons
- Ghost free Massive Gravity in the Stückelberg language
- Phases of massive gravity
- Cosmological Solutions in Bimetric Gravity and their Observational Tests
- Cosmological solutions with massive gravitons in the bigravity theory
- FRW Cosmology in Ghost Free Massive Gravity
- Perturbations in Massive Gravity Cosmology
- Recovering General Relativity from massive gravity
- Spontaneous Lorentz Breaking and Massive Gravity
- Lorentz Breaking Massive Gravity in Curved Space
- On the Hamiltonian analysis of non-linear massive gravity
- Galileon Hairs of Dyson Spheres, Vainshtein's Coiffure and Hirsute Bubbles
- Note About Hamiltonian Structure of Non-Linear Massive Gravity
- Lorentz-violating massive gauge and gravitational fields
- Lorentz-Violating Massive Gravity in Curved Space
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- Translation invariant time-dependent solutions to massive gravity II
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