Completing Lorentz violating massive gravity at high energies
arXiv:1410.2408 · doi:10.1134/S1063776115030164
Abstract
Theories with massive gravitons are interesting for a variety of physical applications, ranging from cosmological phenomena to holographic modeling of condensed matter systems. To date, they have been formulated as effective field theories with a cutoff proportional to a positive power of the graviton mass m_g and much smaller than that of the massless theory (M_P ~ 10^19 GeV in the case of general relativity). In this paper we present an ultraviolet completion for massive gravity valid up to a high energy scale independent of the graviton mass. The construction is based on the existence of a preferred time foliation combined with spontaneous condensation of vector fields. The perturbations of these fields are massive and below their mass the theory reduces to a model of Lorentz violating massive gravity. The latter theory possesses instantaneous modes whose consistent quantization we discuss in detail. We briefly study some modifications to gravitational phenomenology at low-energies. The homogeneous cosmological solutions are the same as in the standard cosmology. The gravitational potential of point sources agrees with the Newtonian one at distances small with respect to m_g^(-1). Interestingly, it becomes repulsive at larger distances.
33 pages, 3 figures; to appear in a special issue of JETP dedicated to the 60th birthday of Valery Rubakov; minor changes with respect to v1, references updated
References in corpus (58)
- The Confrontation between General Relativity and Experiment
- Quantum Gravity at a Lifshitz Point
- Resummation of Massive Gravity
- Beyond the Cosmological Standard Model
- Massive Gravity
- Theoretical Aspects of Massive Gravity
- Causality, Analyticity and an IR Obstruction to UV Completion
- Ghost Condensation and a Consistent Infrared Modification of Gravity
- Effective Field Theory for Massive Gravitons and Gravity in Theory Space
- A healthy extension of Horava gravity
- Tests of Lorentz invariance: a 2013 update
- Models of non-relativistic quantum gravity: the good, the bad and the healthy
- Null energy condition and superluminal propagation
- Infrared-modified gravities and massive gravitons
- On the Extra Mode and Inconsistency of Horava Gravity
- Ghosts in Massive Gravity
- Phases of massive gravity
- Could dark energy be vector-like?
- Unified Description of Nambu-Goldstone Bosons without Lorentz Invariance
- Constraining Lorentz-violating, Modified Dispersion Relations with Gravitational Waves
- Holography without translational symmetry
- Constraints on Einstein-Æther theory and Horava gravity from binary pulsar observations
- Holographic Lattices Give the Graviton a Mass
- Massive graviton as a testable cold dark matter candidate
- Spontaneous Symmetry Breaking and Nambu-Goldstone Bosons in Quantum Many-Body Systems
- Strong Binary Pulsar Constraints on Lorentz Violation in Gravity
- Non-Renormalization and Naturalness in a Class of Scalar-Tensor Theories
- Lorentz-violating graviton masses: getting around ghosts, low strong coupling scale and VDVZ discontinuity
- Effective Lagrangian and Topological Interactions in Supersolids
- Spontaneous Lorentz Breaking and Massive Gravity
- The CFT/AdS correspondence, massive gravitons and a connectivity index conjecture
- Chronology Protection in Galileon Models and Massive Gravity
- A new limit on local Lorentz invariance violation of gravity from solitary pulsars
- Higgs Phenomenon for 4-D Gravity in Anti de Sitter Space
- Lorentz Breaking Massive Gravity in Curved Space
- A relativistic non-relativistic Goldstone theorem: gapped Goldstones at finite charge density
- Product CFTs, gravitational cloning, massive gravitons and the space of gravitational duals
- Dynamics of Gravity in a Higgs Phase
- Constructing Gravitational Dimensions
- On the Cosmology of Massive Vector Fields with SO(3) Global Symmetry
- Signatures of a Graviton Mass in the Cosmic Microwave Background
- Asymptotic freedom in Horava-Lifshitz gravity
- Bigravity and Lorentz-violating Massive Gravity
- Lorentz-violating massive gauge and gravitational fields
- Black hole solutions in massive gravity
- More about spontaneous Lorentz-violation and infrared modification of gravity
- Technically natural dark energy from Lorentz breaking
- One-loop renormalization in a toy model of Horava-Lifshitz gravity
- Covariant constraints for generic massive gravity and analysis of its characteristics
- Stars and (Furry) Black Holes in Lorentz Breaking Massive Gravity
- All Fierz-Paulian massive gravity theories have ghosts or superluminal modes
- Unitarity and the Vainshtein Mechanism
- Aspects of Infrared Modifications of Gravity
- Strong coupling in massive gravity by direct calculation
- UV-extending Ghost Inflation
- Ultra-large distance modification of gravity from Lorentz symmetry breaking at the Planck scale
- Self-accelerated brane Universe with warped extra dimension
- Massive Gravity with Anisotropic Scaling
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