Ghost-Free Derivative Interactions for a Massive Graviton
arXiv:1305.7227 · doi:10.1007/JHEP10(2013)102
Abstract
If the kinetic interactions of a Lorentz-invariant massive graviton are Einstein-Hilbert, then the only possible potential terms free from the Boulware-Deser ghost are those of de Rham, Gabadadze and Tolley (dRGT). We point out there are other possibilities if the kinetic terms are not required to be Einstein-Hilbert. We construct pseudo-linear ghost-free potentials, terms that derive in a natural way from the linear theory. The simplicity of this approach allows us to construct diffeomorphism non-invariant higher-derivative interaction terms that do not introduce ghosts. We conjecture that these terms should have counterparts in the full dRGT theory. These terms would introduce new free parameters into the theory and may change some of the conclusions heretofore drawn.
21 pages. v4 typo in equations with vectors fixed again
References in corpus (7)
- Resummation of Massive Gravity
- Multi-field galileons and higher co-dimension branes
- Cosmic Acceleration and the Helicity-0 Graviton
- Acausality of Massive Gravity
- Non-Renormalization and Naturalness in a Class of Scalar-Tensor Theories
- Mixed Galileons and Spherically Symmetric Solutions
- On ghosts in theories of self-interacting massive spin-2 particles
Cited by in corpus (65)
- Beyond the Cosmological Standard Model
- Massive Gravity
- Recent developments in bimetric theory
- General Teleparallel Quadratic Gravity
- Amplitudes and 4D Gauss-Bonnet Theory
- Massive Gravity Acausality Redux
- Cosmology of the proxy theory to massive gravity
- Positivity Constraints for Pseudo-linear Massive Spin-2 and Vector Galileons
- The coupling to matter in Massive, Bi- and Multi-Gravity
- New Kinetic Interactions for Massive Gravity?
- Bounds on Amplitudes in Effective Theories with Massive Spinning Particles
- Deconstructing Dimensions and Massive Gravity
- Massive Spin-2 Scattering and Asymptotic Superluminality
- Massive and Massless Spin-2 Scattering and Asymptotic Superluminality
- Massive Gravity is not Positive
- Consistent deformations of free massive field theories in the Stueckelberg formulation
- Covariant Approach to the No-ghost Theorem in Massive Gravity
- More on effective composite metrics
- Derivative interactions in de Rham-Gabadadze-Tolley massive gravity
- Positivity Constraints on Interacting Pseudo-Linear Spin-2 Fields
- Field redefinitions in theories beyond Einstein gravity using the language of differential forms
- Generalized elastic positivity bounds on interacting massive spin-2 theories
- Einstein Gravity, Massive Gravity, Multi-Gravity and Nonlinear Realizations
- A Universal Bound on the Strong Coupling Scale of a Gravitationally Coupled Massive Spin-2 Particle
- New massive bigravity cosmologies with double matter coupling
- Interacting spin-2 fields in the Stueckelberg picture
- New Kinetic Terms for Massive Gravity and Multi-gravity: A No-Go in Vielbein Form
- The decoupling limit of Multi-Gravity: Multi-Galileons, Dualities and More
- Universally Coupled Massive Gravity, III: dRGT-Maheshwari Pure Spin-, Ogievetsky-Polubarinov and Arbitrary Mass Terms
- Massive gravity with non-minimal coupling
- TDiff and Weyl Invariant Massive Spin-2: Linear Theory
- A general theory of linear cosmological perturbations: bimetric theories
- Non-linear partially massless symmetry in an SO(1,5) continuation of conformal gravity
- Cutoff for Extensions of Massive Gravity and Bi-Gravity
- Removing Ostrogradski ghost from degenerate gravity theories
- On nonlocally interacting metrics, and a simple proposal for cosmic acceleration
- Coupling between Galileon and massive gravity with composite metrics
- Shift-Symmetric Spin-1 Theories
- Pseudo-Linear Spin-2 Interactions
- UV Constraints on Massive Spinning Particles: Lessons from the Gravitino
- Derivative interactions for a spin-2 field at cubic order
- EFT of Interacting Spin-2 Fields
- On Consistent Kinetic and Derivative Interactions for Gravitons
- Interactions of Charged Spin-2 Fields
- Supersymmetric Massive Gravity
- New massive spin two model on curved space-time
- Novel nonlinear kinetic terms for gravitons
- Generalising the matter coupling in massive gravity: a search for new interactions
- Renormalizable toy model of massive spin two field and new bigravity
- On the uniqueness of ghost-free special gravity
- Cosmology of Massive Gravity and its Extensions
- On the absence of the Boulware-Deser ghost in novel graviton kinetic terms
- Higher Derivative Theories for Interacting Massless Gravitons in Minkowski Spacetime
- Stability analysis for new theories of massive spin-two particle and black hole entropy of new bigravity
- Massive spin-2 theories
- Effective Spin-2 Quasi-particles at Linear Dispersive Five-fold Degenerate Points with Tunable Topological Chern Numbers
- On Lorentz-invariant spin-2 theories
- On Lorentz-invariant bi-spin-2 theories
- Embeddings of the "New Massive Gravity"
- Towards construction of ghost-free higher derivative gravity from bigravity
- On massive spin-2 in the Fradkin-Vasiliev formalism. II. General massive case
- Softness, Polynomial Boundedness and Amplitudes' Positivity
- Wald type analysis for spin-one fields in three dimensions
- New model of massive spin two field
- Self-interacting charged massive spin two particles in Minkowski spacetime