Bimetric Gravity from Ghost-free Massive Gravity

Abstract

Generically, non-linear bimetric theories of gravity suffer from the same Boulware-Deser ghost instability as non-linear theories of massive gravity. However, recently proposed theories of massive gravity have been shown to be ghost-free. These theories are formulated with respect to a flat, non-dynamical reference metric. In this work we show that it is possible to give dynamics to the reference metric in such a way that the consistency of the theory is maintained. The result is a non-linear bimetric theory of a massless spin-2 field interacting with a massive spin-2 field that is free of the Boulware-Deser ghost. To our knowledge, this is the first construction of such a ghost-free bimetric theory.

results extended, version accepted for publication

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• Cosmological model due to dimensional reduction of higher-dimensional massive gravity theory
• Theory-agnostic searches for non-gravitational modes in black hole ringdown
• Cosmological Study in Myrzakulov $F(R,T)$ Quasi-dilaton Massive Gravity
• Gravitational wave oscillations in bimetric cosmology
• Fractonic self-duality and covariant magnetic fractons
• $R^2$ Dark Energy in the Laboratory
• Lovelock gravity is equivalent to Einstein gravity coupled to form fields
• Stability analysis for new theories of massive spin-two particle and black hole entropy of new bigravity
• Perturbations of Cosmological and Black Hole Solutions in Massive gravity and Bi-gravity
• Bi-gravity with a single graviton
• A Critique of Covariant Emergent Gravity
• Pole-skipping for massive fields and the Stueckelberg formalism
• Boulware-Deser ghost in extended quasidilaton massive gravity
• Symmetric vs. chiral approaches to massive fields with spin
• Cosmological future singularities in massive gravity and massive bigravity
• 4D spin-2 fields from 5D Chern-Simons theory
• Cosmological Evolution in Bimetric Gravity: Observational Constraints and LSS Signatures
• Hamiltonian Analysis of Minimal Massive Gravity Coupled to Galileon Tadpole Term
• Exact ghost-free bigravitational waves
• Constraint on ghost-free bigravity from gravitational Cherenkov radiation
• DGP with bubble of nothing
• Holographic Aspects of a Higher Curvature Massive Gravity
• Dark Energy and Doubly Coupled Bigravity
• Note on massless and partially massless spin-2 particles in a curved background via a nonsymmetric tensor
• Static and spherically symmetric general relativity solutions in Minimal Theory of Bigravity
• On Lorentz-invariant bi-spin-2 theories
• On Lorentz-invariant spin-2 theories
• Primordial fluctuations from inflation in dRGT bimetric theory of gravity
• New measures to test modified gravity cosmologies
• Completing the dark matter solutions in degenerate Kaluza-Klein theory
• Spinning and Spinning Deviation Equations of Bi-metric Type Theories
• Dealing with ghost-free massive gravity without explicit square roots of matrices
• Boundary Terms for Massive General Relativity
• Probing Spin-2 Ultralight Dark Matter with Space-based Gravitational Wave Detectors in the mHz Regime
• Modified gravity/entropic gravity correspondence due to graviton mass
• On the well-posed variational principle in degenerate point particle systems using embeddings of the symplectic manifold
• Vainshtein mechanism in massive gravity nonlinear sigma models
• The critical tension in the Cascading DGP model
• Perturbations of a Schwarzschild black hole in torsion bigravity
• Modified propagation of gravitational waves from the early radiation era
• Massive graviton on arbitrary background: derivation, syzygies, applications
• D2 Chern-Simons Gravity
• Axionic extension of the Proca action
• Bounds from multi-messenger astronomy on the Super Heavy Dark Matter
• Dark Matter: The Problem of Motion
• Beyond self-acceleration: force- and fluid-acceleration
• Unusual square roots in the ghost-free theory of massive gravity
• Constraint Algebra in Bigravity
• Black holes in the long-range limit of torsion bigravity
• Embeddings of the "New Massive Gravity"
• Spherically symmetric perturbations of a Schwarzschild black hole in torsion bigravity
• Strings in Bimetric Spacetimes
• Cosmology and stability in scalar tensor bigravity with non-minimal kinetic coupling gravity
• Mass spectrum and linear perturbations of ghost-free multi-spin-2 theory
• A short note on gravity with tensor auxiliary fields
• Energy and momentum in multiple metric theories
• Bi-Connected Gauss-Bonnet Gravity
• Hamiltonian cosmology in bigravity and massive gravity
• Gravitational collapse and odd-parity black hole perturbations in Minimal Theory of Bigravity
• Beyond dRGT - a new massive gravity theory?
• Analytical constraints on bimetric gravity
• Dynamically induced spin-2 mass in a Weyl-invariant framework
• On scale-free extensions of massive (bi-)gravity
• Nonlocal Galileons and Self-Acceleration
• Constrained dynamics of two interacting relativistic particles in the Faddeev-Jackiw symplectic framework
• Towards construction of ghost-free higher derivative gravity from bigravity
• de Sitter Branes in a Flat Bulk of Massive Gravity
• On massive spin-2 in the Fradkin-Vasiliev formalism. II. General massive case
• On five-dimensional massive (bi-)gravity
• Symplectic realization of two interacting spin-two fields in three dimensions
• All actions for free massive higher-spin fields
• Faddeev-Jackiw Hamiltonian formulation for general exotic bi-gravity
• Spinning Guest Fields during Inflation: Leftover Signatures
• Weyl and transverse diffeomorphism invariant spin-2 models in D=2+1
• Towards modified bimetric theories within non-product spectral geometry
• Lyman-alpha power spectrum as a probe of modified gravity
• More on dual actions for massive spin-2 particles
• On Birkhoff's theorem in ghost-free bimetric theory
• Gravitational wave propagation in bigravity in the late universe
• Cosmology in warped massive gravity
• Hamiltonian analysis and positivity of a new massive spin-2 model
• Bigravity from gradient expansion
• Cosmology of Quasi-Dilaton Massive Gravity with Non-minimal Kinetic Coupling
• Gravitational wave propagation beyond general relativity: waveform distortions and echoes
• Note on bimetric causal diagrams
• Nonlinear interactions for massive spin-2 fields
• Absence of gravitational polarization mechanism in the canonical bimetric theory
• A Loop Quantum Gravity Inspired Action for the Bosonic String and Emergent Dimensions at Large Scales
• Dark energy from gravitational corrections
• Fundamental fields around compact objects: Massive spin-2 fields, Superradiant instabilities and Stars with dark matter cores
• GR-GSG Hybrid Gravity
• The Bimetric Theory Of Quantized Fields
• Spectral interactions between strings in the Higgs background
• Doubly coupled matter fields in massive bigravity
• A note on higher rank descriptions of massless and massive spin-1 particles
• Gauge generator for bi-gravity and multi-gravity models
• Translation invariant time-dependent massive gravity: Hamiltonian analysis
• The Cosmological Impact of Brane-Chern-Simons Massive Gravity
• Gravitational ringdown in the Minimal Theory of Massive Gravity
• Self-acceleration in scalar-bimetric theories
• Note on Covariant Stückelberg Formalism and Absence of Boulware-Deser Ghost in Bi-gravity
• Softly higher-derivative massive gravity
• A link between ghost-free bimetric and Eddington-inspired Born-Infeld theory
• Oscillating universe in massive bigravity
• Massive higher spin fields in curved spacetime and necessity of non-minimal couplings
• Ersatz gravity and black-hole thermodynamics from Manin gauge theory with noncompact gauge group
• Distinguishing gravity theories with networks of space-based gravitational-wave detectors
• The bimetric model with an informational metric tensor
• A unique coupling of the massive spin-2 field to supergravity
• Gravitational Waves beyond the Linear Approximation and Gravitational Wave Reflection
• Dipolar perturbations of nonbidiagonal black holes in bigravity
• Categorical generalization of BF theory coupled to gravity
• Canonical formalism of bigravity
• Distinguishing between dark-matter interactions with gravitational-wave detectors
• Cosmological aspects of cubic Galileon massive gravity
• Multigravity and the cosmological constant
• Accelerated expansion as manifestation of gravity: when Dark Energy belongs to the left
• Measuring the speed of scalar induced gravitational waves from observations
• Spontaneous Compactification of Bimetric Theory
• Decoupling Solution Moduli of Bigravity
• Cosmological Solution Moduli of Bigravity
• Relativistic star solutions in Mass-varying Massive Gravity with a diagonal metric
• Geometrical effective actions for a partially massless spin-2 field
• Weak field limit in vierbein-Einstein-Palatini formalism and Fierz-Pauli Equation
• Bimetric interactions based on metric congruences
• Effective string theory for vortex lines in fluids and superfluids
• Polarized solitons in higher-spin wave dark matter
• LHC constraints on hidden gravitons
• Towards a gauge theory of frames
• The Canonical Structure of Bigravity
• A bigravity model from noncommutative geometry
• Self-interacting charged massive spin two particles in Minkowski spacetime
• Supergravity Induced Interactions on Thick Branes
• First order formalism for bimetric theories with connection interaction
• Stable Bimetric Theories
• Generalized Vaidya solutions in bimetric gravity
• On two-vierbein gravity action from gauge theory of conformal group
• Covariant constraints of massive gravity in metric formulation
• Algebraic aspects of massive gravity
• New model of massive spin two field
• Multiple-scale analysis of modified gravitational-wave propagation