On the Hamiltonian analysis of non-linear massive gravity

  title={On the Hamiltonian analysis of non-linear massive gravity},
  author={A. Golovnev},
  journal={Physics Letters B},
Abstract In this Letter we present a very simple and independent argument for the absence of the Boulware–Deser ghost in the recently proposed potentially ghost-free non-linear massive gravity. The limitation is that, in its simple form, the argument is, in a sense, non-constructive and less explicit than the standard approach. However, the formalism developed here may prove to be useful for discussing the formal aspects of the theory. 
Comments about Hamiltonian formulation of non-linear massive gravity with Stückelberg fields
A bstractWe perform the Hamiltonian analysis of some form of the non-linear massive gravity action that is formulated in the Stückelberg formalism. Following seminal analysis performed inExpand
Remark About Hamiltonian Formulation of Non-Linear Massive Gravity in Stuckelberg Formalism
We perform the Hamiltonian analysis of the specific model of the non-linear massive gravity in Stuckelberg formalism where the square root structure is replaced by introducing auxiliary fields. WeExpand
One-loop divergences in massive gravity theory
Abstract The one-loop divergences are calculated for the recently proposed ghost-free massive gravity model, where the action depends on both metric and external tensor field f . The non-polynomialExpand
Non-Linear Massive Gravity with Additional Primary Constraint and Absence of Ghosts
We complete the Hamiltonian analysis of a specific model of nonlinear massive gravity that was started in 2012 [J. Kluson, J. High Energy Phys. 06 (2012) 170]. We identify the primary constraint andExpand
New proposal for non-linear ghost-free massive F(R) gravity: Cosmic acceleration and Hamiltonian analysis
Abstract We propose new version of massive F ( R ) gravity which is natural generalization of convenient massive ghost-free gravity. Its Hamiltonian formulation in scalar-tensor frame is developed.Expand
We perform the Hamiltonian analysis of the bimetric theory of gravity introduced in S. F. Hassan and R. A. Rosen, J. High Energy Phys.1202, 126 (2012), arXiv:1109.3515 [hep-th]. We carefully analyzeExpand
Covariant constraints of massive gravity in metric formulation
We propose a simple method to derive the constraints of the de Rham-Gabadadze-Tolley model in the Lagrangian formulation with the metric description, keeping the Lorentz covariance as far asExpand
Hamiltonian analysis of minimal massive gravity coupled to Galileon tadpole term
A bstractWe perform the Hamiltonian analysis of minimal massive gravity coupled to the Galileon tadpole term. We determine all constraints and we argue that the physical degrees of freedom correspondExpand
Complete decoupling limit of ghost-free massive gravity
A bstractWe present the complete form of the decoupling limit of ghost-free massive gravity with a Minkowski reference metric, including the full interactions of the helicity-1 and helicity-0 modesExpand
The Λ2 limit of massive gravity
A bstractLorentz-invariant massive gravity is usually associated with a strong coupling scale Λ3. By including non-trivial effects from the Stückelberg modes, we show that about these vacua, one canExpand


On non-linear actions for massive gravity
In this work we present a systematic construction of the potentially ghost-free non-linear massive gravity actions. The most general action can be regarded as a 2-parameter deformation of a minimalExpand
Note about Hamiltonian structure of non-linear massive gravity
A bstractWe perform the Hamiltonian analysis of non-linear massive gravity action studied recently in arXiv:1106.3344 [hep-th]. We show that the Hamiltonian constraint is the second class constraint.Expand
Resolving the ghost problem in nonlinear massive gravity.
It is shown that, in the entire two-parameter family of actions, the Hamiltonian constraint is maintained at the complete nonlinear level and this implies the absence of the pathological Boulware-Deser ghost to all orders. Expand
Resummation of massive gravity.
Four-dimensional covariant nonlinear theories of massive gravity are constructed which are ghost-free in the decoupling limit to all orders, and the Hamiltonian constraint is maintained at least up to and including quartic order in nonlinearities, hence excluding the possibility of the Boulware-Deser ghost up to this order. Expand
Ghost free massive gravity in the Stückelberg language
Abstract Massive gravity in 4 dimensions has been shown to be free of the Boulware–Deser (BD) ghost in the ADM language for a specific choice of mass terms. We show here how this is consistent withExpand
To the problem of nonvanishing gravitation mass
Abstract The problem of the zero-mass limit in the massive gravitational field theory is considered in the framework of classical equations. Beyond the perturbation theory approach the continoous inExpand
Strong interactions and exact solutions in nonlinear massive gravity
We investigate strong coupling effects in a covariant massive gravity model, which is a candidate for a ghost-free non-linear completion of Fierz-Pauli. We analyse the conditions to recover generalExpand
Ghost-free massive gravity with a general reference metric
A bstractTheories of massive gravity inevitably include an auxiliary reference metric. Generically, they also contain an inconsistency known as the Boulware-Deser ghost. Recently, a family ofExpand
Analytic solutions in nonlinear massive gravity.
We study spherically symmetric solutions in a covariant massive gravity model, which is a candidate for a ghost-free nonlinear completion of the Fierz-Pauli theory. There is a branch of solutionsExpand
Confirmation of the secondary constraint and absence of ghost in massive gravity and bimetric gravity
A bstractIn massive gravity and in bimetric theories of gravity, two constraints are needed to eliminate the two phase-space degrees of freedom of the Boulware-Deser ghost. For recently proposedExpand