A Covariant Master Theory for Novel Galilean Invariant Models and Massive Gravity
arXiv:1208.5773 · doi:10.1103/PhysRevD.86.124004
Abstract
Coupling the galileons to a curved background has been a tradeoff between maintaining second order equations of motion, maintaining the galilean shift symmetries, and allowing the background metric to be dynamical. We propose a construction which can achieve all three for a novel class of galilean invariant models, by coupling a scalar with the galilean symmetry to a massive graviton. This generalizes the brane construction for galileons, by adding to the brane a dynamical metric, (non-universally) interacting with the galileon field. Alternatively, it can be thought of as an extension of the ghost-free massive gravity, or as a massive graviton-galileon scalar-tensor theory. In the decoupling limit of these theories, new kinds of galileon invariant interactions arise between the scalar and the longitudinal mode of the graviton. These have higher order equations of motion and infinite powers of the field, yet are ghost-free.
arXiv comment27 pages
References in corpus (35)
- The galileon as a local modification of gravity
- Resummation of Massive Gravity
- Generalization of the Fierz-Pauli Action
- Theoretical Aspects of Massive Gravity
- Covariant Galileon
- Bimetric Gravity from Ghost-free Massive Gravity
- Resolving the Ghost Problem in non-Linear Massive Gravity
- Effective Field Theory for Massive Gravitons and Gravity in Theory Space
- Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
- Strong Interactions and Stability in the DGP Model
- Photon and Graviton Mass Limits
- Confirmation of the Secondary Constraint and Absence of Ghost in Massive Gravity and Bimetric Gravity
- Ghost-free Massive Gravity with a General Reference Metric
- On Non-Linear Actions for Massive Gravity
- Interacting Spin-2 Fields
- Ghost free Massive Gravity in the Stückelberg language
- DBI and the Galileon reunited
- Multi-field galileons and higher co-dimension branes
- Arbitrary p-form Galileons
- Symmetries for Galileons and DBI scalars on curved space
- Helicity Decomposition of Ghost-free Massive Gravity
- Quasi-Dilaton: Theory and Cosmology
- Bi-galileon theory I: motivation and formulation
- Selftuned Massive Spin-2
- Galileons as Wess-Zumino Terms
- General Embedded Brane Effective Field Theories
- de Sitter Galileon
- A Proof Of Ghost Freedom In de Rham-Gabadadze-Tolley Massive Gravity
- The Self-Accelerating Universe with Vectors in Massive Gravity
- Stability and superluminality of spherical DBI galileon solutions
- Hidden Gravity in Open-String Field Theory
- Matching conditions for a brane of arbitrary codimension
- Einstein gravity on an even codimension brane
- Galileons on Cosmological Backgrounds
- Gauged Galileons From Branes
Cited by in corpus (57)
- Beyond the Cosmological Standard Model
- Massive Gravity
- Cosmology and Fundamental Physics with the Euclid Satellite
- Cosmology and fundamental physics with the Euclid satellite
- Transforming gravity: from derivative couplings to matter to second-order scalar-tensor theories beyond the Horndeski Lagrangian
- Testing General Relativity in Cosmology
- A formal introduction to Horndeski and Galileon theories and their generalizations
- Healthy degenerate theories with higher derivatives
- Dynamical analysis of generalized Galileon cosmology
- Weakly Broken Galileon Symmetry
- Counting the degrees of freedom of generalized Galileons
- Cosmological behavior in extended nonlinear massive gravity
- Towards consistent extension of quasidilaton massive gravity
- Chameleon Field Theories
- Exorcising the Ostrogradsky ghost in coupled systems
- Generalized Galileon Duality
- Ghost-free theories with arbitrary higher-order time derivatives
- Quasiperiodic oscillations around hairy black holes in Horndeski gravity
- Covariantised Vector Galileons
- Generalized quasi-dilaton theory
- Retarded Green's Function Of A Vainshtein System And Galileon Waves
- Quasi-dilaton non-linear massive gravity: Investigations of background cosmological dynamics
- On the Potential for General Relativity and its Geometry
- Vector instabilities and self-acceleration in the decoupling limit of massive gravity
- Massive gravity coupled to DBI Galileons is ghost free
- Galileon forces in the Solar System
- Nonlocal generalization of Galilean theories and gravity
- Stability of Massive Gravity Solutions for Holographic Conductivity
- On the (A)dS Decoupling Limits of Massive Gravity
- Constraints on a Gravitational Higgs Mechanism
- Cosmological perturbations of massive gravity coupled to DBI Galileons
- The decoupling limit of Multi-Gravity: Multi-Galileons, Dualities and More
- Cosmology in rotation-invariant massive gravity with non-trivial fiducial metric
- A Scale-up of Lambda_3
- On the Trispectrum of Galileon Inflation
- Coupling between Galileon and massive gravity with composite metrics
- Quasinormal modes of a massless Dirac field in de Rham-Gabadadze-Tolley massive gravity
- Reduced Massive Gravity with Two Stückelberg Fields
- Ghost from constraints: a generalization of Ostrogradsky theorem
- Extended DBI massive gravity with generalized fiducial metric
- Matter Couplings and Equivalence Principles for Soft Scalars
- Galileons Coupled to Massive Gravity: General Analysis and Cosmological Solutions
- Mass-Varying Massive Gravity with k-essence
- Generalization of the 2-form interactions
- Metamorphosis of the Cosmological Constant and 5D Origin of the Fiducial Metric
- Stable cosmology in ghost-free quasidilaton theory
- Taming galileons in curved spacetime
- Cosmology of Massive Gravity and its Extensions
- Ghost-free resummation of gravitational interactions of a 2-form gauge field
- Hamiltonian Analysis of Minimal Massive Gravity Coupled to Galileon Tadpole Term
- Cosmological model due to dimensional reduction of higher-dimensional massive gravity theory
- Towards a sound massive cosmology
- Boulware-Deser ghost in extended quasidilaton massive gravity
- Nonlocal Galileons and Self-Acceleration
- Note About Consistent Extension of Quasidilaton Massive Gravity
- Equivalence of EFTs and Time-Like Extra Dimensions
- Weakly Broken Galileon Symmetry in Cosmology