On the Hamiltonian analysis of non-linear massive gravity

Abstract

In this paper 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.

8 pages; minor changes; one of the references and the sign of the potential term are corrected; the reference list is expanded

References in corpus (8)

• Resummation of Massive Gravity
• Confirmation of the Secondary Constraint and Absence of Ghost in Massive Gravity and Bimetric Gravity
• Massive Cosmologies
• Open FRW universes and self-acceleration from nonlinear massive gravity
• Exact Schwarzschild-de Sitter black holes in a family of massive gravity models
• On Black Holes in Massive Gravity
• Helicity Decomposition of Ghost-free Massive Gravity
• Note About Hamiltonian Structure of Non-Linear Massive Gravity

Cited by in corpus (73)

• Beyond the Cosmological Standard Model
• Massive Gravity
• An introduction to the Vainshtein mechanism
• Interacting Spin-2 Fields
• Bounce cosmology from $F(R)$ gravity and $F(R)$ bigravity
• Recent developments in bimetric theory
• Proof of Consistency of Nonlinear Massive Gravity in the Stuckelberg Formulation
• Cosmological Stability Bound in Massive Gravity and Bigravity
• Cosmological perturbations in Massive Gravity and the Higuchi bound
• Hairy black holes in the ghost-free bigravity theory
• Mass-Varying Massive Gravity
• Quantum Corrections in Massive Gravity
• Bimetric gravity doubly coupled to matter: theory and cosmological implications
• Evidence for and Obstructions to Non-Linear Partially Massless Gravity
• Exact self-accelerating cosmologies in the ghost-free bigravity and massive gravity
• Self-accelerating cosmologies and hairy black holes in ghost-free bigravity and massive gravity
• Exact self-accelerating cosmologies in the ghost-free massive gravity -- the detailed derivation
• Degrees of Freedom in Massive Gravity
• Non-Linear Massive Gravity with Additional Primary Constraint and Absence of Ghosts
• Covariant constraints in ghost free massive gravity
• Massive gravity from bimetric gravity
• Ghost-free $F(R)$ bigravity and accelerating cosmology
• Complete Decoupling Limit of Ghost-free Massive Gravity
• A class of charged black hole solutions in massive (bi)gravity
• Linear growth of structure in massive bigravity
• The bimetric variational principle for General Relativity
• On the cosmology of massive gravity
• Cosmological perturbations in massive gravity with doubly coupled matter
• Gravitational wave signal from massive gravity
• Rotating black holes in massive gravity
• Variety of cosmic acceleration models from massive $F(R)$ bigravity
• Anisotropic universes in the ghost-free bigravity
• Comments About Hamiltonian Formulation of Non-Linear Massive Gravity with Stuckelberg Fields
• Chiral description of ghost-free massive gravity
• New proposal for non-linear ghost-free massive $F(R)$ gravity: cosmic acceleration and Hamiltonian analysis
• Higher dimensional massive bigravity
• Generalized massive gravity in arbitrary dimensions and its Hamiltonian formulation
• Remark About Hamiltonian Formulation of Non-Linear Massive Gravity in Stuckelberg Formalism
• Interacting spin-2 fields in the Stueckelberg picture
• Cosmology in ghost-free bigravity theory with twin matter fluids: The origin of "dark matter"
• Bigravity in Kuchar's Hamiltonian formalism. 1. The general case
• One-loop divergences in massive gravity theory
• Bigravity in Kuchar's Hamiltonian formalism. 2. The special case
• Gravitational Waves in Ghost Free Bimetric Gravity
• The ${\Lambda }_2$ limit of massive gravity
• On the role of constraints and degrees of freedom in the Hamiltonian formalism
• On the Vainshtein mechanism in the minimal model of massive gravity
• Ghost-Free Massive $f(R)$ Theories Modelled as Effective Einstein Spaces and Cosmic Acceleration
• Is Bimetric Gravity Really Ghost Free?
• Hamiltonian Formalism of General Bimetric Gravity
• Note About Hamiltonian Formalism for General Non-Linear Massive Gravity Action in Stuckelberg Formalism
• Hamiltonian analysis of General Relativity and extended gravity from the iterative Faddeev-Jackiw symplectic approach
• Galileons Coupled to Massive Gravity: General Analysis and Cosmological Solutions
• To Half--Be or Not To Be?
• Black Holes in Multi-Metric Gravity
• Translation invariant time-dependent solutions to massive gravity
• Hamiltonian Analysis of Pre-geometric Gravity
• Translation invariant time-dependent solutions to massive gravity II
• 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
• Dealing with ghost-free massive gravity without explicit square roots of matrices
• Unusual square roots in the ghost-free theory of massive gravity
• Hamiltonian cosmology in bigravity and massive gravity
• Generation of effective massive Spin-2 fields through spontaneous symmetry breaking of scalar field
• On five-dimensional massive (bi-)gravity
• Black Holes in Multi-Metric Gravity II: Hairy Solutions and Linear Stability of the Non- and Partially Proportional Branches
• A link between ghost-free bimetric and Eddington-inspired Born-Infeld theory
• Translation invariant time-dependent massive gravity: Hamiltonian analysis
• GEMS embeddings of Hayward regular black holes in massless and massive gravities
• Higher-Dimensional Minimal Theory of Mass-Varying Massive Gravity And Its Cosmological Consequences
• Covariant constraints of massive gravity in metric formulation
• Algebraic aspects of massive gravity