Cosmology of the proxy theory to massive gravity
arXiv:1403.2049 · doi:10.1103/PhysRevD.89.103008
Abstract
In this paper, we scrutinize very closely the cosmology in the proxy theory to massive gravity obtained in Phys. Rev. D84 (2011) 043503. This proxy theory was constructed by covariantizing the decoupling limit Lagrangian of massive gravity and represents a subclass of Horndeski scalar-tensor theory. Thus, this covariantization unifies two important classes of modified gravity theories, namely massive gravity and Horndeski theories. We go beyond the regime which was studied in Phys. Rev. D84 (2011) 043503 and show that the theory does not admit any homogeneous and isotropic self-accelerated solutions. We illustrate that the only attractor solution is flat Minkowski solution, hence this theory is less appealing as a dark energy model. We also show that the absence of de Sitter solutions is tightly related to the presence of shift symmetry breaking interactions.
arXiv comment23 pages, 5 figures, references added
References in corpus (37)
- The galileon as a local modification of gravity
- Resummation of Massive Gravity
- Properties of singularities in (phantom) dark energy universe
- Generalization of the Fierz-Pauli Action
- From k-essence to generalised Galileons
- Resolving the Ghost Problem in non-Linear Massive Gravity
- Effective Field Theory for Massive Gravitons and Gravity in Theory Space
- G-inflation: inflation driven by the Galileon field
- Sudden Future Singularities
- General second order scalar-tensor theory, self tuning, and the Fab Four
- Massive Cosmologies
- Ghost free Massive Gravity in the Stückelberg language
- Cosmic Acceleration from Abelian Symmetry Breaking
- Massive gravity: nonlinear instability of the homogeneous and isotropic universe
- Open FRW universes and self-acceleration from nonlinear massive gravity
- Cosmic Acceleration and the Helicity-0 Graviton
- Self-Accelerating Universe in Galileon Cosmology
- Cosmology of the Galileon from Massive Gravity
- Cosmological perturbations of self-accelerating universe in nonlinear massive gravity
- Observables and unobservables in dark energy cosmologies
- Non-Renormalization and Naturalness in a Class of Scalar-Tensor Theories
- Anisotropic Friedmann-Robertson-Walker universe from nonlinear massive gravity
- Evolution of linear cosmological perturbations and its observational implications in Galileon-type modified gravity
- Quantum Corrections in Massive Gravity
- de Sitter Galileon
- Cosmological behavior in extended nonlinear massive gravity
- The Self-Accelerating Universe with Vectors in Massive Gravity
- Stability of Horndeski vector-tensor interactions
- Ghost-Free Derivative Interactions for a Massive Graviton
- Complete Decoupling Limit of Ghost-free Massive Gravity
- New Kinetic Interactions for Massive Gravity?
- Constraints on general second-order scalar-tensor models from gravitational Cherenkov radiation
- On the Potential for General Relativity and its Geometry
- On ghosts in theories of self-interacting massive spin-2 particles
- Derivative interactions in de Rham-Gabadadze-Tolley massive gravity
- Towards scaling cosmological solutions with full coupled Horndeski Lagrangian: the KGB model
- Renormalizable toy model of massive spin two field and new bigravity
Cited by in corpus (65)
- Beyond the Cosmological Standard Model
- Horndeski theory and beyond: a review
- Dynamical systems applied to cosmology: dark energy and modified gravity
- Maximal freedom at minimum cost: linear large-scale structure in general modifications of gravity
- A systematic approach to generalisations of General Relativity and their cosmological implications
- Dark energy in Horndeski theories after GW170817: A review
- van der Waals like behaviour of topological AdS black holes in massive gravity
- Cosmology in generalized Proca theories
- On couplings to matter in massive (bi-)gravity
- Effective gravitational couplings for cosmological perturbations in generalized Proca theories
- On the consistency of universally non-minimally coupled theories
- Screening fifth forces in generalized Proca theories
- Neutron stars in Horndeski gravity
- Observational constraints on generalized Proca theories
- Horndeski theories self-tuning to a de Sitter vacuum
- Direct detection of gravitational waves can measure the time variation of the Planck mass
- Neutron stars structure in the context of massive gravity
- Inflationary models with non-minimally derivative coupling
- Cosmology in bimetric theory with an effective composite coupling to matter
- Dark Matter via Massive (bi-)Gravity
- Cosmological perturbations in massive gravity with doubly coupled matter
- Compact objects in Horndeski gravity
- Quantum corrections in massive bigravity and new effective composite metrics
- Global stability analysis for cosmological models with non-minimally coupled scalar fields
- Anisotropic cosmological solutions in massive vector theories
- Non-linear evolution of the BAO scale in alternative theories of gravity
- Some remarks about non-minimally coupled scalar field models
- Cosmology in scalar-vector-tensor theories
- Dipolar Dark Matter with Massive Bigravity
- More on effective composite metrics
- Unification of Dark Matter - Dark Energy in Generalized Galileon Theories
- Emergence and oscillation of cosmic space by joining M1-branes
- Spatially covariant theories of gravity: disformal transformation, cosmological perturbations and the Einstein frame
- Non-minimal derivative couplings of the composite metric
- Quantum Corrections in Galileons from Matter Loops
- Dark energy in scalar-vector-tensor theories
- The slow expansion with nonminimal derivative coupling and its conformal dual
- Dark energy survivals in massive gravity after GW170817: SO(3) invariant
- Revisiting perturbations in extended quasidilaton massive gravity
- Cascading dust inflation in Born-Infeld gravity
- Massive vector field on curved background: non-minimal coupling, quantization and divergences
- PPN parameters in gravitational theory with nonminimally derivative coupling
- Tensor perturbations in a general class of Palatini theories
- Electromagnetic counterparts of high-frequency gravitational waves having additional polarization states: distinguishing and probing tensor-mode, vector-mode and scalar-mode gravitons
- Observed galaxy power spectrum in cubic Galileon model
- Weak lensing probe of cubic Galileon model
- New DBI Inflation model with Kinetic Coupling to Einstein Gravity
- Gauge-ready formulation of cosmological perturbations in scalar-vector-tensor theories
- First-order thermodynamics of Horndeski cosmology
- Emergence of F(R) gravity-analogue due to defects in graphene
- Cosmology in doubly coupled massive gravity: constraints from SNIa, BAO and CMB
- Cosmology in massive gravity with effective composite metric
- Absence of solid angle deficit singularities in beyond-generalized Proca theories
- Testing theories of Gravity and Supergravity with inflation and observations of the cosmic microwave background
- First and second order cosmological perturbations in light mass Galileon models
- Higher Order Lagrangians inspired by the Pais-Uhlenbeck Oscillator and their cosmological applications
- Global structure of Black Holes via dynamical system
- Thermodynamics of general scalar-tensor theory with non-minimally derivative coupling
- Derivative couplings in massive bigravity
- Accelerated expansion of the Universe a la the Stueckelberg mechanism
- Cosmological expansion and contraction from Pauli exclusion principle in -branes
- Structure of gravastars in the context of massive gravity
- Implications of the primordial anisotropy for a scalar field with non-minimal kinetic coupling
- Doubly coupled matter fields in massive bigravity
- The evolution of Brown-York quasilocal energy due to evolution of Lovelock gravity in a system of M0-branes