Remark About Hamiltonian Formulation of Non-Linear Massive Gravity in Stuckelberg Formalism

Abstract

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. We show that the constraint structure of given theory varies over the phase space and discuss possible consequences of this fact for the counting of the physical degrees of freedom.

13 pages,v2:references added, vs3:Significant changes performed and new conclusion derived with confirms the absence of the ghosts. arXiv admin note: substantial text overlap with arXiv:1112.5267

References in corpus (25)

• Resummation of Massive Gravity
• Bimetric Gravity from Ghost-free Massive Gravity
• Confirmation of the Secondary Constraint and Absence of Ghost in Massive Gravity and Bimetric Gravity
• Ghost-free Massive Gravity with a General Reference Metric
• Massive Cosmologies
• Infrared-modified gravities and massive gravitons
• 3+1 Formalism and Bases of Numerical Relativity
• Open FRW universes and self-acceleration from nonlinear massive gravity
• Cosmological solutions with massive gravitons in the bigravity theory
• Exact Schwarzschild-de Sitter black holes in a family of massive gravity models
• FRW Cosmology in Ghost Free Massive Gravity
• Cosmological perturbations of self-accelerating universe in nonlinear massive gravity
• On Black Holes in Massive Gravity
• Proof of Consistency of Nonlinear Massive Gravity in the Stuckelberg Formulation
• Helicity Decomposition of Ghost-free Massive Gravity
• Spherically Symmetric Solutions in Ghost-Free Massive Gravity
• Chronology Protection in Galileon Models and Massive Gravity
• A Proof Of Ghost Freedom In de Rham-Gabadadze-Tolley Massive Gravity
• On the Hamiltonian analysis of non-linear massive gravity
• Note About Hamiltonian Structure of Non-Linear Massive Gravity
• On ghosts in theories of self-interacting massive spin-2 particles
• Comments About Hamiltonian Formulation of Non-Linear Massive Gravity with Stuckelberg Fields
• Exact plane gravitational waves in the de Rham-Gabadadze-Tolley model of massive gravity
• One-loop divergences in massive gravity theory
• Hamiltonian Analysis of 1+1 dimensional Massive Gravity

Cited by in corpus (25)

• Massive Gravity
• An introduction to the Vainshtein mechanism
• Proof of Consistency of Nonlinear Massive Gravity in the Stuckelberg Formulation
• Cosmological perturbations in Massive Gravity and the Higuchi bound
• Covariant constraints in ghost free massive gravity
• Non-Linear Massive Gravity with Additional Primary Constraint and Absence of Ghosts
• Higher dimensional nonlinear massive gravity
• Chiral description of ghost-free massive gravity
• Higher dimensional massive bigravity
• Dynamical analysis of the cosmology of mass-varying massive gravity
• Massive gravity with non-minimal coupling
• Pauli-Fierz mass term in modified Plebanski gravity
• Hamiltonian Formalism of General Bimetric Gravity
• Is Bimetric Gravity Really Ghost Free?
• Translation invariant time-dependent solutions to massive gravity
• Translation invariant time-dependent solutions to massive gravity II
• Hamiltonian structure of bi-gravity, problem of ghost and bifurcation
• Hamiltonian Analysis of Minimal Massive Gravity Coupled to Galileon Tadpole Term
• GUP corrected entropy of the Schwarzschild black hole in holographic massive gravity
• Massive graviton on arbitrary background: derivation, syzygies, applications
• Cosmological evolutions of $F(R)$ nonlinear massive gravity
• On five-dimensional massive (bi-)gravity
• Translation invariant time-dependent massive gravity: Hamiltonian analysis
• GEMS embeddings of Hayward regular black holes in massless and massive gravities
• Covariant constraints of massive gravity in metric formulation